How do you solve a problem with two missing variables?

In a two-variable problem rewrite the equations so that when the equations are added, one of the variables is eliminated, and then solve for the remaining variable. Step 1: Multiply equation (1) by -5 and add it to equation (2) to form equation (3) with just one variable.

What is the missing length of a triangle?

Answer. Finding the missing side of a right triangle is a pretty simple matter if two sides are known. One of the more famous mathematical formulas is a2+b2=c2 a 2 + b 2 = c 2 , which is known as the Pythagorean Theorem.

How do you find a missing angle?

How To Find The Missing Angle of a Triangle

Subtract the two known angles from 180° :
Plug the two angles into the formula and use algebra: a + b + c = 180°

How do you find a missing side?

How to find the sides of a right triangle

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² – b²)
if leg b is unknown, then. b = √(c² – a²)
for hypotenuse c missing, the formula is. c = √(a² + b²)

What are same side interior angles equal to?

Same-side interior angles are formed from two parallel lines crossed by a transversal. Same-side interior angles add up to 180 degrees. To prove two lines are parallel, add up the same-side interior angles, or vice-versa.

Do interior angles equal the same?

Same side interior angles are on the same side of the transversal. Same side interior angles are congruent when lines are parallel.

Do alternate interior angles add up to 180?

Alternate angles form a ‘Z’ shape and are sometimes called ‘Z angles’. d and f are interior angles. These add up to 180 degrees (e and c are also interior). Any two angles that add up to 180 degrees are known as supplementary angles.

What do alternate interior angles look like?

Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal. In this example, these are two pairs of Alternate Interior Angles: c and f.

Do alternate interior angles add up to 90?

Explanation: Yes, they can be supplementary. One example of this is two parallel lines connected by a line perpendicular to both – the angles are 90 degrees and add up to 180 degrees.

Can alternate interior angles be obtuse?

Alternate interior angles – When a third line called the transversal crosses two other (usually parallel) lines, angles are formed on the inside, or interior, of the two lines. The angles that are opposite of each other are the alternate interior angles. Obtuse angle – Any angle greater than 90°, but less than 180°.

What is the measure of an angle complementary to 70?

1. Complement of 70 is 90-70= 20 degrees.

What do you mean by alternate interior angles?

: one of a pair of angles with different vertices and on opposite sides of a transversal at its intersection with two other lines: a : one of a pair of angles inside the two intersected lines. — called also alternate interior angle.

How do you write an interior angle?

Examples: The angles labeled 1, 2, 3, 4, and 5 in the pentagon below are all interior angles. Angles 3, 4, 5, and 6 in the second example below are all interior angles as well (parallel lines cut by a transversal). Note: The sum of the interior angles of an n-gon is given by the formula (n – 2)·180°.

What is the complement of 70%?

Complementary angles are angles that when added up by their angle, sum up to 90 degree. Here you have 70 degree. To find the complement, just subtract that from 90 degree. So 90 degree – 70 degree = 20 degree.

What is a 70 degree angle called?

acute angle-an angle between 0 and 90 degrees. right angle-an 90 degree angle. obtuse angle-an angle between 90 and 180 degrees.