Question

measurement of one angle of complementary angle is 10°more than what will be the measurement of the both of the angles​​

Answer 1

Answer: If two angles are complementary and one angle is 10 degrees greater than the other, then the smaller angle is 40 degrees

Solution:

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

Learn more about complementary angles

Two angles are complementary and the measure of the smaller angle is 50 degree less than the measure of the larger find the measure of the larger angle

Answer 2

Answer:

let, the angles are a and b

a+b=90°

a=b+10°

b+b+10=90°

or, 2b=80°

or, b=40°

or, a=40°+10°

or, a=50°