Supplementary angles are angles whose wine up to 180 degrees . Two supplementary angles are such that one angle is 5 degrees les

Question

3 years ago

7

s than four times the other. Find the measures of the angles

1 answer:

d1i1m1o1n [39] · Answer 1 · 2022-05-28T17:56:01+03:00

The angles are 37° and 143°

Step-by-step explanation:

Supplementary angles are thoe angles that sum up to 180 degrees

In the given case,,

Let x be one angle

Then the other angle will be:

4x-5

So,

$x+ (4x-5) = 180\\x+4x-5 = 180\\5x - 5 = 180\\5x = 180+5\\5x = 185$

Dividing both sides by 5

$\frac{5x}{5} = \frac{185}{5}\\x = 37$

The other angle will be:

$4x-5 = 4(37) - 5 = 148 - 5 = 143$

So,

The angles are 37° and 143°

Keywords: Supplementary angles

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