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.

i'm not entirely sure

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