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AssignmentMultiple Select

Solving for Unknown Angles in Triangles

Question 1 • FL-1205070-M/J Grade 8 Pre-Algebra (Summer 2026)

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.

Answer
A
m∠A = x°
B
m∠A = (5x)°
C
m∠B = (4x)°
D
m∠C = (5x – 30)°
E
m∠A + m∠B + m∠C = 360°

Explanation

The measure of ∠A is given as x°, so statement A is true. ∠B is 4 times ∠A, making it 4x°, and ∠C is 30° less than 5 times ∠A, making it (5x − 30)°; therefore C and D are true. The angles in a triangle add to 180°, not 360°, so E is false.

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