Question

two angles are supplementary and the larger is 40 degree less than the small. Find the smaller angle​

Answer 1

Answer:

Smaller angle = 55°

Explanation:

Let x be the smaller angle.

ATQ, larger angle will be 3x - 40

As the angles are supplementary,

x + (3x - 40) = 180

4x - 40 = 180

4x = 220

x = 55°

and,

Larger angle = 180 - 55 = 125°

Check

125 is 40 less than 3 times 55 ✓

Answer 2

Answer:

Smaller angle = 55

Explanation:

Let x be the smaller angle.

ATQ, larger angle will be 3x - 40

As the angles are supplementary,

x+ (3x - 40) = 180

4x -40= 180

4x 220

x= 55

and,

Larger angle = 180 - 55 = 125°

Check

125 is 40 less than 3 times 55