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

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

Combine like terms (add 90 and 53 together).

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

faster, im not sure why but i know it is faster