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Find the measure of each angle in triangle ABC.

Triangle A B C has angles labeled as follows: A, (x minus 26) degrees; B, (2x minus 227) degrees; C, (one half x plus 13) degrees.

left parenthesis 2 x minus 227 right parenthesis degrees(2x−227)°

left parenthesis one half x plus 13 right parenthesis degrees12x+13°

left parenthesis x minus 26 right parenthesis degrees(x−26)°

ABC

The measure of angle A is ____ degrees°.

(Simplify your answer. Type an integer or a  decimal.)

ladiikeiii  Nov 29, 2017
 #1
avatar+87604 
+2

A  = x - 26

B = 2x - 227

C =  x / 2   +  13

 

These sum to  180.....so

 

 [x - 26]   + [ 2x - 227]  + [ x/2 + 13]   =   180       simplify

 

3.5x - 240  =  180        add  240 to both sides

 

3.5x  = 420       divide both sides by 3.5

 

x  =  120

 

So  A   =  120 - 26    =     94°

 

 

cool cool cool

CPhill  Nov 29, 2017
 #2
avatar+350 
+1

The measure of angle B is

The measure of angle C is

ladiikeiii  Nov 30, 2017
 #3
avatar+87604 
+2

B = 2 (120) - 227  =  240 - 227  =  13°

C =  120/2 + 13  =  60 + 13  =  73°

 

 

cool cool cool

CPhill  Nov 30, 2017

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