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Solve the following.

In ABC, AB = CB, mABC = 4x – 3, and mCAB = x – 3. What is mACB?

A. 28.5°
B. 31.5°
C. 63°
D. 34.5°

User Krystel
by
6.9k points

2 Answers

4 votes

Answer:

28.5

Explanation:

User Ntm
by
7.0k points
1 vote
The correct answer to this question is this one: "A. 28.5°"

Since AB = CB,
then, there are two angles that are the same:
angle CAB and angle ACB.

We need to get the value of x

4x - 3 + 2(x - 3) = 180
4x - 3 + 2x - 6 = 180
6x - 9 = 180
6x = 189
x = 31.5

So angle ACB would be,
mACB = x - 3
mACB = 31.5 - 3
mACB = 28.5
User Yadira
by
7.1k points
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