Question

In triangle​ ABC, the size of angle B is 3 times the size of angle​ A, and the size of angle C is 5 degrees less than 6 times the size of angle A.

Find the size of the angles.

If you can help me, you are a legend

Answer 1

• 18.5°, 55.5°, 106°

Explanation:

Given:

• B = 3A
• C = 6A - 5

Since the sum of three interior angles is 180°, solve for A:

• A + B + C = 180
• A + 3A + 6A - 5 = 180
• 10A = 185
• A = 18.5°

Find B and C:

• B = 3*18.5 = 55.5°
• C = 6*18.5 - 5 = 106°