Question

the difference in the measure of 2 complementary angles is 20 degree. find the measure of the angles

Answer 1

Answer:

As the measure of 2 complementary angles is 90° and 1 angle is greater than the other, we have.

x + (x + 20) = 90°

2x + 20 = 90°

2x = 90° - 20

2x = 70

x = 70/2 = 35°

Measure of 2 complementary angles = 90°

Then,

1st angle = x = 35°

2nd angle = 90° - 35° = 55°

Hope it helps you!!

Answer 2

AnswEr:-

Your Answer is 55° and 35°.

ExplanaTion:-

Given:-

• The difference of measure of two complementary angles = 20°.

To Find:-

• The both angles.

Concept Used:-

• The sum of two complementary angles is always equal to 90°.

Now,

Let both the angles be x and y respectively.

Let both the angles be x and y respectively. Since these are complementary angles so there sum must be equal to 90°.

↦ x + y = 90°... eq(1)

Also it is given that the difference of the angles is 20°.

↦ x - y = 20°... eq(2)

So,

By adding eq(1) and eq(2) we get:-

↦ (x + y) + (x - y) = 90° + 20°.

↦ x + y + x - y = 110°.

↦ 2x = 110°.

↦ x = 110°/2.

↦ x = 55°.

By putting the value of x in eq(1) we get:-

↦ x + y = 90°.

↦ 55° + y = 90°.

↦ y = 90° - 55°.

↦ y = 35°.

Therefore the angles are x and y = 55° and 35° respectively.