Two angles are supplementary and have measures M angle QRS equals X +40° and an angle SRT equals X what is the measure of angle QRS is it 180° 110° 70° or 25° degrees
If two angles are supplementary, their measures add up to 180 degrees.
Let's denote the measure of angle QRS as Q, and the measure of angle SRT as S.
According to the given information, we have:
Q = X + 40° (angle QRS)
S = X (angle SRT)
Since Q and S are supplementary, we can write:
Q + S = 180
Substituting the given values, we have:
(X + 40°) + X = 180
2X + 40° = 180
2X = 180 - 40
2X = 140
X = 140/2
X = 70
Now that we have found the value of X, we can substitute it back into the equations to find the measures of the angles:
Q = X + 40°
Q = 70 + 40
Q = 110°
Thus, the measure of angle QRS (or Q) is 110°.