Maxlarsonidn
Answered

Find solutions to your problems with the help of IDNLearn.com's expert community. Get accurate and detailed answers to your questions from our dedicated community members who are always ready to help.

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 :

LadyStrangeidn

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°

Mhanifaidn

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°
Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your questions find answers at IDNLearn.com. Thanks for visiting, and come back for more accurate and reliable solutions.