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Oduvanchick [21]
3 years ago
10

The measure of a supplement of an angle is 15 degrees less than four times the measure of the complement. Find the measure of th

e angle.
Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

Answer:

Let call the angle X

Its complement will be 90-x

Its supplement will be 180-x

(180-x)+15 = 4(90-x)

180-x+15 = 360-4x

4x-x = 360-180-15

3x = 165

x = 55

Prove

The complement of 55 is 35

And the supplement of 55 is 125

Now we must see if the relation stated holds

125+15 = 4(35)

125+15 = 140 The measure of the supplement of an angle is 15 degrees less than four times the measure of the complement.

140 = 140

Therefore the solution of the problem is given by an angle of 55 degrees.

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\longrightarrow{\green{C.\:30 \sqrt{11} }} ✔

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

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