Question

Two complementary angles have measures in the ratio 5:4. what is the measure of the smaller angle?

Answer 1

Hey Friend ☺

Two complementary angles are in ratio 5 : 4

Let the common multiple be x .

So the angles are 5x & 4x

We kbow that the SIM of complementary angles is 180

So we get equation

5x + 4x = 180

》9x = 180

》x = 20

So the smaller angle is 4x I.e.4 × 20 = 80 degree

Hope it helps you ..!!

✌

Answer 2

Hii friend,

The ratio of two supplementary angle = 5:4

Let ,

1 st angle = 5X

And,

Second angle = 4X.

we know that the sum of two supplementary angle is 180°.

5X+4X = 180

9X = 180

X = 180/9

X = 20°

Therefore,

1st angle = 5X = 5 × 20 = 180°

And,

2nd angle = 4X = 4×20 = 80°

HENCE,

The measurement of smaller angle is 80°.

HOPE IT WILL HELP YOU.... :-)