SOLUTION: Find the measures of two complentary angles if one angle is 20 degrees more than four times the other angle.

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Question 817826: Find the measures of two complentary angles if one angle is 20 degrees more than four times the other angle.
Found 2 solutions by TimothyLamb, ewatrrr:
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
a + b = 90
b = 4a + 20
---
a + b = 90
a + 4a + 20 = 90
5a = 70
---
a = 14
b = 76
---
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Re reply, Awesome Assignment! Good work!

complentary angles if one angle is 20 degrees more than four times the other angle green%28X%29

Note: Sum of  complementary angles = 90°

Question states***

X + (4X+20°) = 90°

   5X = 70°

    X = 14°, Its Complement is 76°   (4*14°+20°)

CHECKING our answer***

  14° + 76° = 90°