Question
Download Solution PDFO is the incentre of the triangle PQR. If angle POR = 140 degree, then what is the angle PQR?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
POR = 140 degree
Concept used:
The incenter of a triangle is equally inclined to all the sides of the triangle.
Angle at incentre = 90° + vertex angle/2
Calculation:
According to the concept,
90° + ∠PQR/2 = 140°
⇒ ∠PQR/2 = 140° - 90°
⇒ ∠PQR/2 = 50°
⇒ ∠PQR = 100°
∴ The angle PQR is 100°.
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