In the given figure, angle PRT = 150 degrees and angle PQR = 80 degrees. What is the value (in degrees) of angle QPR?
Correct Answer :
70
70
Solution :
Given:
Step 1: Find the interior angle at R
Since RT is an extension of PR, ∠PRT is an exterior angle of the triangle.
Therefore,
∠PRQ = 180° − 150° = 30°.
Step 2: Apply the angle sum property of a triangle
In ▵PQR,
∠QPR + ∠PQR + ∠PRQ = 180°
∠QPR + 80° + 30° = 180°
∠QPR = 180° − 110° = 70°.
Answer: 70°
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