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LUCKY_DIMON [66]
3 years ago
11

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

Mathematics
2 answers:
jeka943 years ago
6 0
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!
victus00 [196]3 years ago
4 0

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

<h3>(90) + (53) + z = 180</h3>

Combine like terms (add 90 and 53 together).

<h3>143 + z = 180</h3>

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

<h3>z = 37°</h3>
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