Question

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 m∠C = 56 From smallest to largest: ∠B, ∠C, ∠A m∠A = 99 x = 49 (4x + 16) = 180

Answer 1

`B= 41`;
`C = 56`;
`A = 83`

Explanation:

Given

`A = 2x + 1`

`B = x`

`C = x + 15`

Required

Arrange the angles from smallest to largest

First, we need to determine the value of x.

Since, it is a triangle:

`A + B + C = 180`

Substitute values for A, B and C

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

Collect Like Terms

`2x + x + x = 180 - 15 -1`

`4x = 164`

Solve for x

`x= 164/4`

`x= 41`

Solve for A, B and C

`A = 2x + 1`

`A = 2 * 41 + 1`

`A = 82 + 1`

`A = 83`

`B = x`

`B= 41`

`C = x + 15`

`C = 41 + 15`

`C = 56`

From Smallest to Largest, we have:

`B= 41`;
`C = 56`;
`A = 83`