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

Answer:

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

Step-by-step 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:

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