Question

find the measure of the angles which is double of it's complementary angles​

Answer 1

Answer:

60⁰

Step-by-step explanation:

Let the measure of angle be 'x'

So, angle=x

complementary angle= (90⁰-x)

so , x= 2 x (90⁰-x)  { 2 is multiplied because the angle is double its complementary angle}

=> x= 180⁰ -2x

=> x+2x= 180⁰

=> 3x= 180⁰

=> x= $\frac{180}{3}$

x= 60⁰

So measure of the angle is 60⁰.

I hope this helps.

The other angle will be 30⁰, as (90⁰-x)= 90⁰ -60⁰= 30⁰.