Question

Two supplementary angles are in the ratio 3 is to 7 . Find the angle

Answer 1

Answer: 54° and 126°

Step-by-step explanation:

Supplementary angles means that they form 180° together, i.e., if you add two supplementary angles, you will get a straight line.

Ratio = 3:7

Let the common no. be = x

∴ the two angles = 3x and 7x

Now, we know that these two angles (3x and 7x) are supplementary.

∴ 3x + 7x = 180°

∴ 10x = 180°

∴ x = 180°/10 = 18°

∴ One angle = 3x = 3(18°) = 54°

  Another angle = 7x = 7(18°) = 126°

(You can check that 54° + 126° = 180°)