137k views
4 votes
28. Which of the following is the correct measure of

angle ABC?

A. 30°
B. 88°
C. 132°
D 44°

28. Which of the following is the correct measure of angle ABC? A. 30° B. 88° C. 132° D-example-1
User Yodamad
by
8.7k points

1 Answer

4 votes

Answer:

  • D) 44°

Explanation:

According to the diagram we observe:

  • ∠ACD is the exterior angle of triangle ABC.

As we know the exterior angle is same as the some of the remote interior angles.

It can be shown as:

  • m∠ACD = m∠CAB + m∠CBA

Substitute the values and solve for x:

  • 5x - 18 = 3x - 2 + x + 14
  • 5x - 18 = 4x + 12
  • 5x - 4x = 12 + 18
  • x = 30

Find the measure of m∠ABC:

  • x + 14 = 30 + 14 = 44

The matching answer choice is D.

User Sesser
by
7.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories