Question

Two angles are complementary, The larger angle is 74 degrees larger then the smaller angle what is the measurement of both angles?

Answer 1

`8^circ` and `82^circ`

Explanation:

Definition Two angles are complementary if their sum is `90^circ`

If the smaller angle is `x^circ`
then the larger angle (based on the given information) is `x^circ+74^circ`

Based on the defintion
`x^circ+(x^circ+74^circ)=90^circ`

`rarr 2x^circ+74^circ=90^circ`

`rarr 2x^circ=16^circ`

`rarr x^circ=8^circ`

So the smaller angle is `8^circ`
and the larger angle is `8^circ+74^circ=82^circ`