Question

An angle is 22º more than its complement. What is its measure?

Answer 1

Let the angle be x°

then,

complement of angle=(x-22)°

ATQ

x+x-22=90

2x=90+22

2x=112

x=56°

therefore,

the angle is 56°

hope it helps

:-)

Answer 2

The sum of complementary angles is 90°

Let an angle be x°

Then the other will be (x + 22)°

So,

x + x + 22 = 90°

2x +22 = 90°

2x = 90 -22

x = 68/2 = 34°

Therefore,

Therefore,the first angle is 34°

Therefore,the first angle is 34°The other angle is 34+22 = 56°