Question

find the measure of the angle indicated.
question 2
1 pts
find the measure of the angle indicated.

Explanation:

First Problem (Quadrilateral \( RQPS \))

Step1: Recall quadrilateral angle sum

The sum of interior angles in a quadrilateral is \( 360^\circ \).

Step2: Sum known angles

Known angles: \( 61^\circ \), \( 85^\circ \), \( 95^\circ \). Sum: \( 61 + 85 + 95 = 241^\circ \).

Step3: Find unknown angle

Let \( \angle R = x \). Then \( x + 241 = 360 \). Solve: \( x = 360 - 241 = 119^\circ \).

Second Problem (Quadrilateral \( GDEF \))

Step1: Recall quadrilateral angle sum

The sum of interior angles in a quadrilateral is \( 360^\circ \).

Step2: Sum known angles

Known angles: \( 67^\circ \), \( 113^\circ \), \( 67^\circ \). Sum: \( 67 + 113 + 67 = 247^\circ \).

Step3: Find unknown angle

Let \( \angle F = y \). Then \( y + 247 = 360 \). Solve: \( y = 360 - 247 = 113^\circ \).

Answer:

First angle: \( 119^\circ \)
Second angle: \( 113^\circ \)