Question

Triangle ABC has angle measures as shown.

(a) What is the value of x? Show your work.
(b) What is the measure of angle C? Show your work.

Answer 1

Explanation:

Answer 2

• 12°

Explanation:

Sum of interior angles of the triangle is 180°:

• m∠A + m∠B + m∠C = 180°
• 3x + 28° + 5x + 52° + 2x - 10° = 180°
• 10x + 70° = 180°
• 10x = 110°
• x = 11°

Find the measure of angle C:

• m∠C = 2x - 10° = 2(11°) - 10° = 22° - 10° = 12°