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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:


The sum of the angle measures of a triangle is 180°. Find the measure of each angle-example-1

2 Answers

5 votes

TRIANGLES


\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}

User Stujo
by
8.2k points
4 votes

Answer:

No idea, maybe multiply everything and divide by 7?

Explanation:

User Suyog
by
7.8k points

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