Question

If two angles are complementary and one angle is 10° greater than the other, then the smaller angle of the two is
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Answer 1

Answer:

The 2 angles are 40° and 50°

Step-by-step explanation:

If two angles are complementary and one angle is 10° greater than the others, then the smaller angle of the two is

Let the two angles by 'x' , 'y'

By the given condition x+y = 90°

And

x = y+10°......(1)

x+y = 90

Substitute the value of x in above equation

y+10+y = 90

2y + 10 = 90

2y = 80

y = 40°

x+y = 90

x + 40 = 90

x = 50°

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Answer 2

Answer:

40°

Step-by-step explanation:

Two angles are called complementary when their measures add to 90°

Let the smaller angle be x

x + x+10 = 90

x + x = 90 - 10

x + x = 80

2x = 80

x = 80/2

x = 40°

The smaller angle is 40°