Question

An angle is ⅕ of its supplement. The measure of the angle is

(a) 30° (b) 15 ° (c) 75° (d) 150°A​

Answer 1

Answer:

30°

Step-by-step explanation:

Let the measure of its supplement be x°. Then,

other angle = x/5

x + x/5 = 180

=> 5x + x/5 = 180

=> 6x/5 = 180

=> x = 180 × 5/6

=> x = 150

Hence , the measure of its supplement is 150°.

∴The other angle = 150°/5 = 30°

Answer 2

Answer:

If asked about the angle then the answer is (d) 150° is the answer... If asked about the supplementary then the answer is (a) 30°        

Step-by-step explanation:

Let the angle be x.

∴ its supplement should be (x/5)

∴As per question-

x/5+x= 180°

⇒x+5x/5= 180°

⇒6x/5= 180°

⇒x= 180°x5/6

⇒x= 30x5

⇒x= 150°

First angle= 150°

Its supplementary angle= 30°

Hope it helps!