Question

Which angle has a measure equal to the sum of the m∠SQR and the m∠QRS? ∠RSC ∠SRE ∠DQS ∠QSR

Answer 1

The answer is RSC.

Explanation:

Just took the test and it was correct.

Answer 2

The correct answer ∠RSC

Explanation:

From the given information, we get a triangle ΔQRS

<SQR and < QRS are two interior angles of triangle QRS

Other interior angle is <QSR,

Therefor m<QSR = 180 - (sum of other 2 angles)

m<QSR = 180 - (m<SQR + m<QRS) (angle sum property)

And also, m<RSC = 180 - m<QSR

Therefore <RSC = (m<SQR + m<QRS)