Geometry and TrigonometryHardAngle from an exterior angle of a triangle
Geometry and Trigonometry practice question
In triangle PQR, angle P measures 40°. Side QR is extended beyond R to a point S, and angle PRS measures 110°. What is the measure, in degrees, of angle Q?
Answer: 70
The exterior angle PRS equals the sum of the two remote interior angles: 110 = 40 + Q, so Q = 70.
Common wrong answers
- If you answered 30
- 30 is 70 − 40, subtracting the given angle from angle R instead.
- If you answered 110
- 110 is the exterior angle itself.
- If you answered 140
- 140 adds 40 and 110 for angle Q instead of subtracting.
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