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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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2 Use the figure to find angle measures In the figure m ll n and x ll y A Suppose mlt5 69º Find Mlt10 B Suppose mlt4 114 Find mlt14 C Suppose mlt5 86º Find mlt1 class=

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Answer:

See below ~

Step-by-step 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°

#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