Question

6. Two supplementary angles are in the ratio 2:3. The measure of the
smaller angle is,
a) 36 degrees
b) 108 degrees
c) 72 degrees
d) 60 degrees​

Answer 1

Answer:

a)36 degrees

Step-by-step explanation:

2x+3x=90°

5x=90°

x=90°/5

x=18°

smaller angle in question is 2x=2×18°=36°

Answer 2

Given :

• Ratio of two supplementary angles = 2 : 3

To find :

• Measure of smaller angle

According to the question,

Let,

• The ratio be 2x and 3x

We know,

• Supplementary angle value is 180°

➟ 2x + 3x = 180°

➟ 5x = 180°

➟ x = 180° ÷ 5

➟ x = 36°

So,

• The measure of 2x = 2(36°) =72°
• The measure of 3x = 3(36°) = 108°

Hence,

• The smaller angle is 72°.

So,option c) 72° is correct.