Given: ∠WXY and ∠YXZ are supplementary angles and m∠WXY=75° Prove: m∠YXZ=105°

Question

Mathematics

Caleb Humphrey

8 January, 21:52

Given: ∠WXY and ∠YXZ are supplementary angles and m∠WXY=75° Prove: m∠YXZ=105°

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Answers (1)

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Prego · Answer 1

m∠WXY + m∠YXZ = 180°

Replacing with the real values:

75° + m∠YXZ = 180°

m∠YXZ = 180° - 75°

m∠YXZ = 105°

Step-by-step explanation:

1. Let's review all the information provided to us to answer the question correctly:

∠WXY and ∠YXZ are supplementary angles

m∠WXY=75°

2. Prove : m∠YXZ=105°

Let's recall that supplementary angles are those angles whose sum is 180 degrees. Therefore,

m∠WXY + m∠YXZ = 180°

Replacing with the real values:

75° + m∠YXZ = 180°

m∠YXZ = 180° - 75°

m∠YXZ = 105°