∠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?

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°

hi there!

step-by-step explanation:

a roof pitch is basically for every inch rise there is 12 inches run.

the height of the roof is also known as the rafter.

formula: rafter^2 = rise^2 + run^2

rafter^2 = 5^2 + 12^2

rafter^2 = 25 + 144

rafter ^2 = 169"^2

the height of the roof from the lowest point to the highest point is 169"^2.

hope this : )