+0  
 
+2
32
1
avatar+201 

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
Sort: 

1+0 Answers

 #1
avatar+79846 
+2

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

 

 

cool cool cool

CPhill  Nov 29, 2017

7 Online Users

avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details