Question

An angle is 15° more than twice its complementary angle. Find the angle

Answer 1

two complementary angles measures = 90°

one of them 15° more than the twice other.

let one of them be 'x' therefore the other one is 2x + 15°

→ x + 2x + 15 = 90°

→ 32x = 90 - 15

→ x = 75/3

→ x = 25°

hence, the angles are 25° and 65°

Answer 2

The measure of the angle is 65°.

GIVEN

An angle is 15° more than twice its complementary angle.

TO FIND

The measure of the angle.

SOLUTION

We can simply solve the above problem as follows;

We know that complimentary angles are those angles whose sum is equal to 90°.

Let the complimentary angle be x°

So, Tne angle will be = 2x +15°

Now,

x + 2x + 15 = 90

Adding the like term.

3x = 90-15

3x = 75.

Dividing LHS and RHS by 3.

3x/3 = 75/3

x = 25°

The measure of angle = (2×25)+15 = 65.

Hence, The measure of the angle is 65°.

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