Question

Two supplementary angles are in the ratio 1:5. what is the measure of the smaller angle

Answer 1

Answer:

The measure of smaller angle is 30°.

Step-by-step explanation:

sum of ratio= 1+5= 6

For smaller angle: larger angle= 1:5

Thus, the measure of smaller angle = (1/6)×180°= 30°

Thank you.

Answer 2

Required Answer:-

Supplementary angle is given by 180 . And we know that, the ratio of two supplementary angles are 1:5 .

Let,

• 1 be 1x ( smaller angle )
• 5 be 5x ( larger angle )

Then, in order to find the measure of smaller angle we have to find the value of x . Then,

➙ 1x + 5x = 180°

➙ 6x = 180°

$\sf \: ➙ x = \dfrac{180 \degree}{6}$

➙ x = 30°

Hence,

Smaller angle

➙ 1x ... [ x = 30 ]

➙ 1 × 30

➙ 30

and if you want to find the larger number

➙ 5x ... [ x = 30 ]

➙ 5 × 30

➙ 150