The sum of the angle measures of a triangle is 180°. Find the measure of each angle. measure of angle A: measure of angle B: measure of angle C:

Question

asked May 10, 2021 157k views

2 Answers

Stujo · Answer 1 · 2021-05-11T18:24:07+0000

$\mathbb{ANSWER:}$

First, solve for x.

$\sf \rightarrow m \angle A + m \angle B + m \angle C = 180$

$\sf \rightarrow (x-2)+(4x+1)+(4x+1)=180$

$\sf \rightarrow 9x =180$

$\sf \rightarrow (9x)/(9) = (180)/(9)$

$\sf \rightarrow x=20$

Next, find the measurements of angles A, B and C by substituting the value of x to the given measurements.

Angle A

$\sf \rightarrow m \angle A = x-2$

$\sf \rightarrow m \angle A = (20)-2$

$\sf \rightarrow m \angle A = \boxed{\sf 18}$

Angle B

$\sf \rightarrow m \angle B = 4x + 1$

$\sf \rightarrow m \angle B = 4(20) + 1$

$\sf \rightarrow m \angle B = \boxed{\sf 81}$

Angle C

$\sf \rightarrow m \angle C = 4x + 1$

$\sf \rightarrow m \angle C = 4(20) + 1$

$\sf \rightarrow m \angle C = \boxed{\sf 81}$