Question

28. Which of the following is the correct measure of
angle ABC?

A. 30°
B. 88°
C. 132°
D 44°

Answer 1

Answer:

• D) 44°

Step-by-step 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.