Question

the ratio of measure of complementary angle of one angle with its measure of supplementary is 2:5 then what will be the ratio of that angle with its supplementary angle​

Answer 1

Given :Measure of supplementary angle = 2:5

To find : Ratio of angle with the supplementary angle

Solution:

Let the angle be = x

The supplementary angle = 180–x

The complementary angle = 90-x

According to the question -

(180-x) /(90- x) = 2/5

2 (180-x) = 5 (90- x)

360 – 2 x = 450 – 5x

360 - 450 = -5x + 2x

- 90 = -3x

x = 30

Thus, the supplementary = 180 - 30 = 150

= Angle : Supplementary angle = 30 : 150

= 1:5 ( Answer)

Hope this helps you