allgoodnamesrgone01
Answered

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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 44 class=

Sagot :

mhanifa

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.

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