Question

Find the measure of the angle which is double of its complementary angle?

(a) 60°
(b) 30°
(c) 45°
(d) 120°

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Answer 1

Answer:

an angle is twice its complement you can represent the angle as x and other as 2x . since they are complement , there sum is 90 degrees . this means that one angle is 30 deg. the angle that is twice that value is 60 degrees.

Answer is 60

Answer 2

Given,

The said angle is double of its complementary angle.

To find,

The said angle.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Now, two angles are complementary when their sum is 90°.

Let, the said angle = x°

It's complementary angle = (x/2)°

According to the definition of complementary angles,

x + x/2 = 90

(2x+x)/2 = 90

3x/2 = 90

3x = 180

x = 60

(This value of 'x' will be considered as the value of our said angle, that satisfy all the given conditions.)

Hence, the said angle is 60° (option a).