Question

41 = 5x + 35 and 3 = 4x + 10. Find the measure of x, 21 and 22.

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Answer 1

Look : angle 1 + angle 3 = 180°

because it is a straight line.

Thus ;

`5x + 35 + 4x + 10 = 180`

Simplification

`9x + 45 = 180`

Subtract sides 45

`9 x = 180 - 45`

`9x = 135`

Divided sides 9

`(9)/(9)x = (135)/(9) \\`

`x = 15`

So x = 15°

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angle 1 = 5x + 35°

angle 1 = 5 ( 15 ) + 35°

angle 1 = 75° + 35°

angle 1 = 110°

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angle 1 + angle 2 = 180°

110° + angle 2 = 180°

Subtract sides 110°

angle 2 = 180° - 110°

angle 2 = 70°

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And we're done...♥️♥️♥️♥️♥️