Question

Q. 48
Q.
: If the supplementary angle is 2 2/7 times of its complementary angle of an angle.
7
Find the measure of the given angle?
(1) 30
(2) 20
(3) 25
(4) 70

Answer 1

Answer:

20°

Step-by-step explanation:

Let the angle be 'x'

Its supplementary angle is ( 180 - x)

Its complemetary angle is ( 90 - x)

Supplementary angle is 2  2/7 times its complementary angle

⇒ Supplementary angle = 2   2/7 x Complementary angle

⇒ ( 180 - x) = 2  2/7 x ( 90 - x)

⇒ ( 180 - x) = 16 / 7 ( 90 - x)

⇒ ( 180 - x ) 7 = 16 ( 90 - x)

⇒ 1260 - 7x = 1440 - 16x

⇒ 16x - 7x = 1440 - 1260

⇒ 9x = 180

⇒ x = 180 / 9

⇒ x = 20