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What is the measure of angle WXY?

73°
90°
107°
163°

HELP QUICKLY!!!!!!! PLEASE

What is the measure of angle WXY? 73° 90° 107° 163° HELP QUICKLY!!!!!!! PLEASE-example-1

2 Answers

2 votes
the answer is 107 degrees. I just took the quiz and got it right. this is because 73 + 90+ 90 = 253 degrees. Then, you take 360 - 253 and you get 107. :) hope that helps
User Drch
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4 votes

Answer:

Measure of angle ∠WXY = 107°

Explanation:

Given a WXYZ with measure of ∠Y = ∠Z = 90° and ∠W=73°.

We have to find measure of ∠X .

Since, WXYZ is a closed figure having 4 sides, so it is a quadrilateral.

ANGLE SUM PROPERTY OF QUADRILATERAL

Sum of angles of a quadrilateral is always 360°

Thus, applying angle sum property to the given quadrilateral.

∠Y + ∠Z + ∠W + ∠X = 360°

90° + 90° + 73° + ∠X = 360°

253° + ∠X = 360°

∠X = 360° -253°

∠X = 107°

Thus, measure of angle ∠WXY = 107°

User Angad
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