Question

The measure of an angle which is four times its supplement, find the angle.

Answer 1

Answer:

Two angles A and B are said to be supplementary when their sum is 180°

A+B = 180°

Now,

Let us assume the angle we need to find out be (A) so its supplementary angle would be (180-A)

Now, according to the Questions:

> A=4(180°-A)

(The question says angle A is 4 times the angle 180-A, just try to understand the question and you'll get it)

On solving the above equation you will get:

> 5A= 720°

Hence,

> A= 144°

So the angle which is four times its supplement is 144°

Hope I'm not wrong in this one :P

:)

Answer 2

Answer:

144 and 36

Step-by-step explanation:

Let one angle be x

other will be = 180 - x

x = 4(180-x)

x = 720 - 4x

5x = 720

x = 144

One is 144

other is 36

I hope this may help u

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