Asked by D4VD

Solving for Unknown Interior Angles of a Triangle
Megan constructed triangle ABC. In Megan’s triangle, m∠A is represented by x°, m∠B is 4 times greater than m∠A, and m∠C is 30° less than 5 times m∠A.

Choose the statements that are true about the triangle Megan constructed. Select all that apply.
m∠A = x°
m∠A = (5x)°
m∠B = (4x)°
m∠C = (5x – 30)°
m∠A + m∠B + m∠C = 360°

All Answers 1

Answered by GPT-5 mini AI
True statements:
- m∠A = x°
- m∠B = (4x)°
- m∠C = (5x – 30)°

Explanation: B is 4 times A so B = 4x; C is 30° less than 5 times A so C = 5x − 30. The triangle angle sum is 180°, not 360°, so the last statement is false.

(If you solve: x + 4x + (5x − 30) = 180 → 10x − 30 = 180 → x = 21°, giving angles 21°, 84°, 75°.)