Select all the true statements. Triangle A B C where the measure of angle A is 2 x plus 1 degree, angle B is x degrees, and angle C is x plus 15 degrees. Group of answer choices From smallest to largest: ∠B, ∠C, ∠A x = 49 m∠C = 56 m∠A = 99 (4x + 16) = 180

Respuesta :

Answer:

m∠C = 56 and (4x + 16) = 180

Step-by-step explanation:

The sum of angle in a triangle is 180, hence:

<A+<B+<C = 180

Given

<A = 2x+1

<B = x

<C = x+15

Substitute

2x+1+x+x+15 = 180

collect like terms:

2x+x+x+1+15 = 180

4x+16 = 180

4x = 180-16

4x = 164

Divide both sides by 4

4x/4 = 164/4

x = 41°

Since <A = 2x+1

<A = 2(41)+1

<A = 82+1

<A = 83

<B = x = 41

<C = x+15

<C = 41+15

<C = 56

Based on the calculation above, the true statements are:

m∠C = 56 and (4x + 16) = 180