Two angles are supplementary and have measures m QRS = (x + 40)° and m SRT = x°. What is the measure of QRS?
• 70°
• 180°
• 110°
• 25°
The sum of supplementary angles is always 180 degrees.
Therefore, we can set up the equation:
m QRS + m SRT = 180
(x + 40) + x = 180
2x + 40 = 180
2x = 140
x = 70
Substituting x = 70 into m QRS = (x + 40)°:
m QRS = (70 + 40)° = 110°
Therefore, the measure of QRS is 110°.