maxlarson
Answered

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You do not need to show all of your work for this one. But be sure that you can prove your answer is correct!

You Do Not Need To Show All Of Your Work For This One But Be Sure That You Can Prove Your Answer Is Correct class=

Sagot :

LadyStrange

Quick answer :

[tex]\color{plum}m∠ABC = 71° [/tex]

Steps to derive the correct answer :

  • Opposite angles of a parallelogram are equal.
  • Angles on the same side are supplementary.

Which means :

m∠ABC = ∠ADC (opposite angles of a parallelogram)

m∠ABC :

= 37° + 34°

= 71°

Thus, the measure of ∠ABC = 71°

Let us find the measures of the other angles as well :

m∠BCD + m∠ADC = 180°

m∠BCD + 71 = 180°

m∠BCD = 180 - 71

m∠BCD = 109°

Thus, the measure of∠BCD = 109°

m∠BCD = ∠BAD (opposite angles of a parallelogram)

m∠BAD = 109°

Thus, the measure of ∠BAD = 109°

Therefore, m∠ABC = 71°

mhanifa

Answer:

  • 109°

Step-by-step explanation:

Given isosceles trapezoid AB = CD

Angles B and C are congruent and angles A and D are congruent.

A and B, as well as C and D sum to 180 as supplementary angles, therefore:

  • m∠ABC = 180° - ∠A = 180 - ∠D = 180° - (34°+37°) = 180° - 71° = 109°
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