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sashaice [31]
3 years ago
10

Two angles are complementary. The Sum of the first angle plus twice the second angle is 148 Degrees. Find the Measures of the an

gles.
Mathematics
1 answer:
bekas [8.4K]3 years ago
3 0

Answer: 32° & 58°

<u>Step-by-step explanation:</u>

"Two angles are Complementary" means: x + y = 90

"Sum of the 1st angle plus twice the 2nd angle is 148" means: x + 2y = 148

Solve the system using any method <em>(I am using elimination)</em>

 x +  y =  90   →   -1(x +  y = 90)   →  -x -  y = -90

 x + 2y = 148  →   1(x + 2y = 148)  →<u>  x + 2y</u>= <u>148 </u>

                                                                y = 58

x + y = 90

x + 58 = 90

<u>     -58 </u>  <u>-58 </u>

x          = 32

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