Question

find an angle which is four times of its supplement

Answer 1

Here's what we know:
180 - x = 4(90-x) (supplementary angles add together to make 180 degrees. Complementary create 90 degrees. This particular angle's supplementary's partner is 4 times as large as its complementary's partner)

180 - x = 360 - 4x
180 + 3x = 360
3x = 180
x = 60

Let's check
180 - 60 = 120
So the supplementary angle is 120.

90 - 60 = 30
So the complementary angle is 30.
4 * 30 = 120
Four times the complementary is equal to the supplementary.

Answer 2

Answer:

Let the measure of the required angle be x°.

Then, the measure of its supplement is (x/4)°

Therefore, x + x/4 = 180

= 4x + x= 720

= 5x = 720

= x = 144

Hence, the required angle measures 144°

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