Question

the measure of two supplimentary angle are in the ratio 4: 11 . what is the measure of the greater number a. 160 degrees​

Answer 1

Answer:

132°

Step-by-step explanation:

Given:

• Measure of 2 supplementary angles are in the ratio 4 : 11

To find:

Measure of greater angle = ?

Concept used:

Supplementary angles always sum up to 180°

Solution:

Since it is given that the 2 angles are in the ratio 4 : 11, let us consider the 2 angles to be '4x' and '11x'

Now, their sum = 180°

⇒ 4x + 11x = 180°

⇒ 15x = 180°

⇒ x = 180° ÷ 15

⇒ x = 12°

When we compare the 2 ratios, it can be easily observed that 11x is greater than 4x.

So, the greater angle would be:

 11x

= 11 (12)

= 132°

∴ The greater angle = 132°