Question

find the measure of an angle if 7 times its complement is 10 less than 3 times its supplement

Answer 1

Let the angle be x

Measure of its complement = (90-x)

Measure of its supplement= (180-x)

A/q,

7 (90 - x) = 3 (180 - x) - 10

630 - 7x = 540 - 3x -10

- 7x + 3x = 540 - 630

- 4x = - 100

- x = $\frac{- 100}{- 4}$

$\cancel{-}\: x \: = \: \cancel{-} \: 25$

x = 25


$\therefore{}$ The angle is of 25°

Answer 2

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