Question

Measurment of one angle of a complementery angle 10° more than another angle, than what will be the measurmen of the both the angles.

Answer 1

Answer:

Small angle = 40°

Big angle =50°

Explanation:

Given that two angles are complementary

Let the smaller complementary angle be "a"

Let the larger complementary angle be "b"

Two Angles are Complementary when they add up to 90 degrees

So we can say,

smaller complementary angle + larger complementary angle = 90

a + b = 90 --- eqn 1

Also given that one angle is 10 degree greater than other

b = a + 10 --- eqn 2

Substitute eqn 2 in eqn 1

a + a + 10 = 90

2a = 80

a = 40

From eqn 2,

b = 40 + 10

b = 50

Thus the smaller angle is 40 degrees