Question

What is the value of x? Enter your answer in the box. x = Equiangular triangle A B C. Angles A, B, and C are marked congruent. The length of side A C is labeled as 4 x minus 30. The length of side A B is labeled as 3 x minus 5. The length of side B C is labeled as 2 x plus 20.

Answer 1

Did you ever find out the answer? I'm taking a quiz and have been stuck on this question for the last 10 minutes.

Explanation:

Answer 2

x = 25

Explanation:

Equiangular triangle is also equilateral triangle.

This means their sides are of equal length.

So, AB = BC = AC

Consider AB = BC

3x - 5 = 2x + 20

3x - 2x = 20 + 5

x = 25

Check:

Length of AB = 3x - 5 = 3(25) - 5 = 75 - 5 = 70

Length of BC = 2x + 20 = 2(25) + 20 = 50 + 20 = 70

Length of AC = 4x - 30 = 4(25) - 30 = 100 - 30 = 70