Question

angle pqr is a right angle. the measure of angle sqr is 40°. the measure of angle pqs is x°. what is the value of x?

Explanation:

Step1: Identify the right angle

Angle \( PQR \) is a right angle, so \( \angle PQR = 90^\circ \).

Step2: Use angle addition

We know \( \angle PQR = \angle PQS + \angle SQR \). Substituting the known values, \( 90^\circ = x + 40^\circ \).

Step3: Solve for \( x \)

Subtract \( 40^\circ \) from both sides: \( x = 90^\circ - 40^\circ = 50^\circ \).

Answer:

\( 50 \)