Question

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.

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°

Answer 1

Angle A =x

Angle B is 4x

Angle C is 5x-30

So the answer is A C andD

Answer 2

Answer:

A, C and D are true statements.

Step-by-step explanation:

Megan constructed triangle ABC.

In Megan’s triangle, m∠A is represented by x°.

Therefore, ∠A = x°

For m∠B is 4 times greater than m∠A

Therefore, ∠B = 4x°

For m∠C is 30° less than 5 times m∠A.

Therefore, ∠C = 5x°-30°

ABC is a triangle.

Sum of all angles of a triangle is 180°. Angle sum property of triangle.

m∠A + m∠B + m∠C = 180°

x° + 4x° + 5x°-30° = 180°

x° = 15°

True Statements are:

A) m∠A = x°

C) m∠B = (4x)°

D) m∠C = (5x – 30)°