Question

Two supplementary angles are (3x+4) and (2x+6), find the value of x.​

Answer 1

Answer:

(3x+4)+ (2x+6) = 180⁰

5x+10 = 180⁰

5x = 180⁰-10⁰

5x = 170⁰

x = 170⁰÷5

x = 34⁰

Answer 2

Step-by-step explanation:

When the sum of the measures of two angles is 180°, such angles are called supplementary angles and each of them is called a supplement of the other.

The vertices of two angles may be same or different. In the given figure ∠AOC and ∠BOC are supplementary angles as ∠AOC + ∠BOC = 180°.

supplementary angles

Again, ∠QPR and ∠EDF are supplementary angles as ∠QPR + ∠EDF = 130° + 50° = 180°.

supplementary angles image

Angles of 60° and 120° are supplementary angles.