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mr Goodwill [35]
3 years ago
6

Can anybody please help me out with this problem I would really appreciate it so much . Please and thank you

Mathematics
1 answer:
White raven [17]3 years ago
4 0

"Supplementary" angles add up to 180°.

Opposite angles are supplementary, so . . .

(12x - 4) + (19x - 2)  =  180°

Clear the parentheses:  12x - 4 + 19x - 2 = 180°

Add up all the x's on the left side:  31x - 4 - 2  =  180°

Add up the plain old numbers on the left side:  31x - 6  =  180°

Add  6  to each side:  31x  =  186°

Divide each side by  31 :  <em>x  =  6°</em>

Well !  Now that you know that  x = 6° . . .

Angle  EPC  is  (12x - 4)°

That's  (12·6  -  4)°

Which is  (72 - 4)°

Which is  <em>68°</em>

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