Question

Find the measure of an angle which is double of its supplement​

Answer 1

Answer:120°

step by step explanation:

supplementary angle means 180°

let x be one angle and 2x be another angle

x+2x=180

3x=180

x=180

3

x=60

double of 60 is 120

60+120= 180

plz mark as brainliest

Answer 2

In the above Question , we have to find the measure of an angle which is double of its supplement .

Solution -

Let us assume that the required measure of the required Angle is x° .

We have the following given condition -

The required Angle is double of its supplement .

Now, know that supplementary angles add upto 180°

So ,

If the given angle is x ,

The supplementary angle is 180° - x

So ,

x = 2 ( 180° - x )

=> x = 360° - 2x.

=> 3x = 360°

=> x = 120°

Thus the required Angle is 180° .

This is the required answer .

Additional Information -

Complementary angles add upto 180°

Sum of all the exterior angles of any polygon is always 360°

_____________