Two angles are supplementary and have measures m∠QRS=(x+40)° and m∠SRT=x° . What is the measure of ∠QRS ?(1 point) Responses 70° 70 degrees 25° 25 degrees 180° 180 degrees 110°
70°
∠ACB and ∠BCD are supplementary angles. The angles have the following measures: ∡ACB=(x+28)° and ∡BCD=(x+48)° . What is m∠BCD ?(1 point) Responses 100° 100 degrees 80° 80 degrees 52° 52 degrees 128°
∠ACB + ∠BCD = 180 degrees
(x+28) + (x+48) = 180
2x + 76 = 180
2x = 104
x = 52
∠BCD = x + 48
∠BCD = 52 + 48
∠BCD = 100°
Therefore, the measure of ∠BCD is 100°.