Find the angle complementary to the angle 80°25′.

a. 90°
b. 99°35′
c. 180°
d. 9°35′

Two angles are said to be complementary to each other when the sum of the two angles gives 90°. To find the angle complementary to angle 80°25′, we subtract angle 80°25′ from angle 90°. i.e. 90° - 80°25′ = 90° - 80° 25/60 = 90° - 80° 5/12 = 9° 7/12 = 9° (7/12 x 60)' = 9°35' Therefore, the angle complementary to 80°25′ is 9°35'.

In the first triangle 80+20+p=180 (since sum of all angles of a triangle is 180)so p= 80also in second triangle 55+45+q=180 (since sum of all angles of a triangle is 180)so q=80so we can conclude that p=80 degrees q=80 degrees so p=q=80 degreeshence option b is correct