Question

Solve the following.

In triangleABC, AB = CB, mangleABC = 4x – 3, and mangleCAB = x – 3. What is mangleACB?
(1 point)
Responses

28.5°
28.5°

31.5°
31.5°

63°
63°

34.5°

Answer 1

To find the measure of angle ACB, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

In triangle ABC, we have:
angle ABC = 4x - 3
angle CAB = x - 3
angle ACB = ?

Since AB = CB, we have the following equation:
angle ABC + angle CAB + angle ACB = 180

Substituting the given values, we have:
(4x - 3) + (x - 3) + angle ACB = 180

Simplifying the equation, we have:
5x - 6 + angle ACB = 180

To isolate angle ACB, we rearrange the equation:
angle ACB = 180 - 5x + 6
angle ACB = 186 - 5x

Now, we need to solve for x in order to find the measure of angle ACB. However, the given information does not provide enough information to find a specific value for x. Therefore, we cannot determine the exact measure of angle ACB without additional information.

As a result, none of the options provided (28.5°, 31.5°, 63°, 34.5°) can be determined to be the correct answer.