Question

2. Use the figure to find angle measures. In the figure, m ll n and x ll y.

A. Suppose m<5 = 69º. Find M<10.
B. Suppose m<4 = 114°. Find m<14.
C. Suppose m<5 = 86º. Find m<12.

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Answer 1

#1

m<5 and m<10 are alternative and equal

• m<10=69

#2

They are supplementary

• 114+m<14=180
• m<14=180-114=66

#3

Alternate angles are equal

• m<12=86

Answer 2

See below ~

Explanation:

A.

• m∠5 = m∠10 (alternate angles)
• m∠10 = 69°

B.

• ∠4 + ∠14 = 180° (∠14 is equal to ∠8 as they are corresponding, and ∠8 is supplementary to ∠4)
• ∠14 = 180° - 114°
• ∠14 = 66°

C.

• ∠5 = ∠12 (as ∠10 = ∠12 by alternate interior angles, and ∠10 = ∠5 as alternate angles)
• ∠12 = 86°