Question

in the figure below, m∠pqs=133° and m∠2=79°. find m∠1.

Explanation:

Step1: Identify angle relationship

From the figure, \( \angle PQS = \angle 1 + \angle 2 \). So, \( m\angle 1 = m\angle PQS - m\angle 2 \).

Step2: Substitute values

Given \( m\angle PQS = 133^\circ \) and \( m\angle 2 = 79^\circ \), substitute into the formula: \( m\angle 1 = 133^\circ - 79^\circ \).

Step3: Calculate the result

\( 133 - 79 = 54 \), so \( m\angle 1 = 54^\circ \).

Answer:

\( 54 \)