Question

If x represents the measure of an angle, then the expression _____________ represents the measure of its supplement. Hint (90-x),(180-x) or (360-x)

Answer 1

If x represents the measure of an angle, then the expression (180-x) represents the measure of its supplement.

Explanation:

We know that if two angles are supplement of each other then their sum must be 180 degrees.

Let the other angle be y.

Hence, from the above written definition, we can say that

`x+y=180^(\circ)`

Subtract x to both sides, we get

`y=180^(\circ)-x`

Therefore, the expression is (180-x)

If x represents the measure of an angle, then the expression (180-x) represents the measure of its supplement.