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# In a triangle ABC, the measure of angle B is 5 times the measure of angle A, and the measure of angle C is

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In a triangle,  ABC, the measure of angle B is 5 times the measure of angle  A, and the measure of angle C is

2degrees° less than 4 times the measure of angle A. Find the measure of the angles.

Triangle A B C has angles labeled as follows: A, x degrees; B, 5x degrees; C, (4x minus 2) degrees.

x degreesx° left parenthesis 4 x minus 2 right parenthesis degrees(4x−2)° 5 x degrees5x° ABC

The measure of angle A is

cassie19  Nov 29, 2017
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A  =  x

B  = 5x

C = 4x - 2

These angles sum to 180....so we have that...

x  + 5x  + (4x - 2)   =   180     simplify

10x - 2 =  180      add 2 to both sides

10x  =  182     divide both sides by 10

x  = 18.2°  =  A

5(18.2)  =  91°  =  B

4(18.2) - 2  =  70.8° =  C

CPhill  Nov 29, 2017

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