Asim is proving that the measure of ∠PQR is equal to two times the measure of ∠PQS. Which statement correctly completes Asim's proof?

Answer 1

Statement: "∠QRS is a straight angle because it is a supplementary angle to ∠PQS."

Explanation: By definition, a straight angle measures 180 degrees. Since ∠QRS is a supplementary angle to ∠PQS, they add up to form a straight angle. Therefore, the measure of ∠PQS is half of 180 degrees, which is 90 degrees. And since Asim is proving that the measure of ∠PQR is equal to two times the measure of ∠PQS, we get:

∠PQR = 2 × ∠PQS
∠PQR = 2 × 90
∠PQR = 180

Therefore, the measure of ∠PQR is indeed equal to twice the measure of ∠PQS.