Question

Find the measure of an angle if eight times its complement is 20degree less than three times its suplement

Answer 1

let x be the angle need to find
then ,
it's complement angle is 90-x

and supplement angle is ,180-x

therefore,
8(90-x)=3(180-x)-20
720-8x=540-3x-20
5x=200
x=40


hope you will understand

Answer 2

The measure of the angle is 40°

Explanation: When two angles' measurements add up to 90 degrees, they are said to be complimentary. When two angles' measures sum up to 180 degrees, they are said to be supplementary.

Let the angle be x

Its complement will be  and its supplement will be (180°-x)

Given eight times its complement is 20° less than three times its supplement

$\therefore 8(90\°-x)=3(180\°-x)-20\°\\\Rightarrow 720\°-8x=540\°-3x-20\°\\\Rightarrow 720\°-8x=520\°-3x\\\Rightarrow 200\°=5x\\\therefore x=40\°$

To know more about complementary and supplementary angles, click on the links below:

https://brainly.in/question/215252

https://brainly.in/question/1494223

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