Question

Given that the measure of ∠x is 90°, and the measure of ∠y is 53°, find the measure of ∠z.

Answer 1

The lines are forming a triangle, because the shape formed has 3 sides making it up. The sum of the measures of the interior angles of a triangle is equal to 180 degrees, so that means all the angles (x, y, and z) will add up to 180 in an equation.

Make angles x, y, and z add up to 180 in an equation. Substitute the given values for x and y, 90 and 53, into the equation and solve for the value of angle z (variable z).

x + y + z = 180

(90) + (53) + z = 180

Combine like terms (add 90 and 53 together).

143 + z = 180

Subtract 143 from both sides of the equation to solve for the measure of angle z.

z = 37°

Answer 2

To find the answer we can use the angles sum of triangle which is 180° to find ∠z by deducting the other two angles from 180°:

180°-53°-90°
=37°

Therefore ∠z=37°.

Hope it helps!