How do I find the exterior angle of a triangle?

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Example: Find the values of x and y in the following triangle. y + 92° = 180° (interior angle + adjacent exterior angle = 180°.)

How many exterior angles does a triangle have?

6 exterior angles

What are interior and exterior angles of a triangle?

The angles on the inside are called Interior angles. The sum of the interior angles of a triangle is always 180 degrees. The exterior angle is the angle between any side of a shape, and a line extended from the next side. The sum of an exterior angle and its adjacent interior angle is also 180 degrees.

What is the sum of the 3 exterior angles of a triangle?

All exterior angles of a triangle add up to 360°.

Do exterior angles add up to 360?

the sum of all exterior angles equal 360, allexterior angles are the same, just like interior angles, and one exterior angle plus one interior angle combine to 180 degrees.

Why do all exterior angles equal 360?

Summed, the exterior angles equal 360 degreEs. A special rule exists for regular polygons: because they are equiangular, the exterior angles are also congruent, so the measure of any given exterior angle is 360/n degrees.

Do irregular polygons exterior angles add up to 360?

Irregular Polygons The sum of the exterior angles of an irregular polygon also equals 360 degrees, even though the angles are not equivalent. To find the measurement of an exterior angle, simply take the corresponding interior angle and subtract it from 180.

Why do the exterior angles of a triangle add up to 360 degrees?

Properties. An exterior angle of a triangle is equal to the sum of the opposite interior angles. For more on this see Triangle external angle theorem. If the equivalent angle is taken at each vertex, the exterior angles always add to 360° In fact, this is true for any convex polygon, not just triangles.

Can exterior angles of a triangle be a straight angle?

AN EXTERIOR ANGLE OF A TRIANGLE CANNOT BE A STRAIGHT LINE BECAUSE A TRIANGLE HAS 180 DEGREES IN ADDING ALL THE THREE ANGLES OF A TRIANGLE.

Which is the longest side of a triangle?

hypotenuse

Can you have a triangle with all the three angles less than 60 degree?

No, a triangle cannot have all angles less than 60°, because if all angles will be less than 60°, then their sum will not be equal to 180°. Hence, it will not be a triangle.

Can a triangle with sides 3 cm 6 cm and 9 cm be constructed?

Heya …! As We Know Sum Of Two Sides Of A Triangle Must Be Greater Than The Third Side . The Given Measurements Are 2cm , 3cm And 6cm . Hence A Triangle Cannot Be Constructed .

Can you have a triangle with 6 cm 3 cm and 2 cm?

No!!! This is because 2 sides of a triangle must be GREATER THAN the 3rd side. Since there is one false condition, the given sides are not the sides of a triangle.

Is it possible to construct a triangle whose side are 3 cm 6.1 cm and 2.6 cm?

No,because in a triangle sum of any two sides should be greater than third side.

Is it possible to have a triangle with 3 cm 6 cm and 7 cm as sides?

In a triangle, the sum of the lengths of either two sides is always greater than the third side. Given that, the sides of the triangle are 3 cm, 6 cm, 7 cm. Hence, this triangle is possible.

Is it possible to have a triangle with the following sides 3 cm 4 cm 5 cm?

YES, IT’S POSSIBLE! If the largest among the three sides of a triangle is lesser than the sum of the others, then it’ll be possible to draw the triangle. Here, in 3 cm, 4 cm, 5 cm, 5 cm is the largest. So this is a right angled triangle. Hope this helps you.

Is it possible to have a triangle with following 2 cm 3 cm 5 cm?

In a triangle, the sum of the lengths of either two sides is always greater than the third side. Given that, the sides of the triangle are 2 cm, 3 cm, 5 cm. Hence, this triangle is not possible.

Is it possible to have a triangle with the following sides 3cm 4cm 7cm?

No, it is not possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm because here we see that sum of the lengths of two sides is equal to third side i.e., 4+3 = 7. As we know that, the sum of any two sides of a triangle is greater than its third side, so given statement is not correct.

Can u have a triangle with 2 obtuse angles?

The answer is “No”. Reason: If a triangle has two obtuse angles, then the sum of all the 3 interior angles will not be equal to 180 degrees.

What is the minimum number of acute angles in a triangle?

Can a triangle have all angles less than 60 degree?

No, a triangle cannot have all angles less than 60°, because if all angles will be less than 60°, then their sum will not be equal to 180°.

Can a triangle have 2 acute angles?

An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles.

Can a triangle have all angles?

That is, the statement is true and therefore, yes a triangle can have all angles equal to 60o.

Which is the longest side of a right triangle?

Which is the shortest side of a right triangle?

In any triangle, the longest side is opposite the largest angle, and the shortest side is opposite the smallest angle. Thus, in a right triangle, the hypotenuse is always the longest side.

Does the Pythagorean apply to all triangles?

The Pythagorean Theorem states that in any right triangle, the sum of the squares of the lengths of the triangle’s legs is the same as the square of the length of the triangle’s hypotenuse. Remember, this theorem only works for right triangles.

Is this triangle a right triangle?

A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.