Question

Find every angle measurement in the given diagram. 61° 20 to yo 153⁰​

Answer 1

Explanation:

m∠61° and m∠x° are supplementary angles because they make a straight line.

So,

180 - 61 = 119

x = 119°

m∠153° and m∠y° are supplementary angles, too.

So,

180 - 153 = 27

y = 27°

The sum of interior angles in a triangle is equal to 180°.

x° + y° + z° = 180°

We already found the measurements of x and y, so we just need to replace them to find the measure of z:

27 + 119 + z = 180

• Add like terms.

146 + z = 180

• Subtract 146 from both sides.

z = 34°