Question

1. choose the best answer.

m∠pqs = 70°
m∠sqr = 30°
what is the measure of ∠pqr?
100°
70°
40°
30°

Explanation:

Step1: Identify angle addition

To find \( m\angle PQR \), we use the angle addition postulate, which states that if a point \( S \) lies in the interior of \( \angle PQR \), then \( m\angle PQR = m\angle PQS + m\angle SQR \).

Step2: Substitute given values

We know \( m\angle PQS = 70^\circ \) and \( m\angle SQR = 30^\circ \). Substituting these values into the formula:
\( m\angle PQR = 70^\circ + 30^\circ \)

Step3: Calculate the sum

\( 70^\circ + 30^\circ = 100^\circ \)

Answer:

\( 100^\circ \) (corresponding to the option with \( 100^\circ \))