Question

. (a +30)° and (2a )° are the measures of two supplementary angles. What is

the measure of each angle?​

Answer 1

Given:

• The angles (a + 30)° and (2a)° are supplementary.

To find:

1. Measure of each angle = ?

Method:

We know that supplementary angles sum up to 180°

Applying this concept,

(a + 30)° + (2a)° = 180°

⇒ a + 30 + 2a = 180°

⇒ 3a + 30 = 180°

⇒ 3a = 180° - 30°

⇒ 3a = 150°

⇒ a = 150 ÷ 3

⇒ a = 50°

Now let us substitute the value of a and find the measure of each angle.

(a + 30)° = 50° + 30° = 80°

(2a)° = 2(50)° = 100°

Therefore the measure of each angle is 80° and 100°

Verification:

For verifying whether the answer is correct or not, you can add the 2 angles and get the sum as 180°

Here,

80° + 100° = 180°

Hence verified.