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° l

Question

1 month ago

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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° l

ess 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°

Mathematics

2 answers:

zzz [12.3K] · Answer 1 · 2026-03-28T03:05:41+03:00

zzz [12.3K]1 month ago

7 0

Angle A =x

Angle B is represented as 4x

Angle C is expressed as 5x-30

Hence, the correct responses are A, C, and D

PIT_PIT [12.4K] · Answer 2 · 2026-03-28T03:02:42+03:00

Response:

Statements A, C, and D are accurate.

Here is a stepwise breakdown:

Megan's triangle, ABC, has m∠A denoted as x°.

Thus, ∠A = x°

For m∠B being 4 times m∠A

It follows that ∠B = 4x°

For m∠C which is 30° less than 5 times m∠A.

Hence, ∠C = 5x° - 30°

As ABC is a triangle, the sum of all angles equals 180°. The angle sum property dictates that

m∠A + m∠B + m∠C = 180°x° + 4x° + (5x° - 30°) = 180°Implies that x° = 15°

Statements deemed true include:

A) m∠A = x°

C) m∠B = (4x)°

D) m∠C = (5x – 30)°