Allgoodnamesrgone01idn
Answered

IDNLearn.com provides a collaborative environment for finding and sharing answers. Discover prompt and accurate responses from our experts, ensuring you get the information you need quickly.


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 :

Mhanifaidn

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.

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Accurate answers are just a click away at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.