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if two complementary angles have measures of (3x-10) and (2x+10) then x=

a18

b22

c20

d36

 Feb 9, 2015

Best Answer 

 #2
avatar+128474 
+8

Complementary angles sum to 90°

So we have

(3x - 10) + (2x + 10)  = 90    simplify

5x  = 90    divide by 5 on each side

x = 18

 

 Feb 9, 2015
 #1
avatar+32 
+5

The answer is a.

Explanation:

Complementary angles are two angles that add up to 90 degrees.

So (3x-10) + (2x+10) would have to equal 90                 (3x-10) + (2x+10) = 90

We simplify it. The 10s cancel each other out                   3x - 10 + 2x +10 = 90

                                                                                   5x = 90

We simplify again                                                           x = 18   

 Feb 9, 2015
 #2
avatar+128474 
+8
Best Answer

Complementary angles sum to 90°

So we have

(3x - 10) + (2x + 10)  = 90    simplify

5x  = 90    divide by 5 on each side

x = 18

 

CPhill Feb 9, 2015

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