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∠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?

Respuesta :

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;

[tex]\angle x +\angle y=180^{\circ}[/tex]

Substituting ∠y = 49°, we get;

[tex]\angle x+49^{\circ}=180^{\circ}[/tex]

Subtracting both sides by 49°, we get;

[tex]\angle x=131^{\circ}[/tex]

Thus, the measure of angle x is 131°

Answer:

131 degrees

Step-by-step 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°

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