Question

The ratio of two angels is 2:1 find the larger angle if the smaller angle is 105 and find the smaller angle if the larger angle is 180

Answer 1

By ratio and proportion method,

In first case we are given that, smaller angle = 105°

Let the larger angle be x

So their ratio = x:105

=> 2 : 1 :: x : 105

We know that, product of extreme = product of mean

=> 1 × x = 105 × 2

=> x = 210°

So the larger angle is 210°


Second case we are given that larger angle is 180°

Let the smaller angle be x

So the ratios is 180 : x

Again,

2 : 1 :: 180 : x

Product of extreme = Product of mean

=> 2x = 180 × 1

=> x = 180/2

=> x = 90°

So the smaller angle is 90°

Hope it helps dear friend ☺️