Question

Two supplementary angles are in the ratio 3 1 : 5 find both angles​

Answer 1

The two angles are 155 degrees and 25 degrees

Solution:

Given that two supplementary angles are in ratio 31 : 5

Let the first angle be 31a

Let the second angle be 5a

Two Angles are Supplementary when they add up to 180 degrees.

Therefore,

first angle + second angle = 180 degrees

$31a + 5a = 180\\\\36a = 180\\\\a = \frac{180}{36}\\\\a = 5$

Therefore the angles are:

first angle = 31a = 31(5) = 155 degrees

second angle = 5a = 5(5) = 25 degrees

Thus the two angles are 155 degrees and 25 degrees