Question

∠xangle, x and \angle y∠yangle, y are supplementary angles. \angle y∠yangle, y measures 49^\circ49 ∘ 49, degrees. What is the measure of \angle x∠xangle, x?

Answer 1

131 degrees

Explanation:

Given:

The angles x and y are supplementary angles.

The measure of ∠y is 49°

We need to determine the measure of ∠x

Measure of ∠x:

Since, the angles x and y are supplementary angles, then their angles add up to 180°

Thus, we have;

Substituting ∠y = 49°, we get;

Subtracting both sides by 49°, we get;

Thus, the measure of angle x is 131°

Answer 2

Given:

The angles x and y are supplementary angles.

The measure of ∠y is 49°

We need to determine the measure of ∠x

Measure of ∠x:

Since, the angles x and y are supplementary angles, then their angles add up to 180°

Thus, we have;

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

Substituting ∠y = 49°, we get;

`\angle x+49^(\circ)=180^(\circ)`

Subtracting both sides by 49°, we get;

`\angle x=131^(\circ)`

Thus, the measure of angle x is 131°