SSC CGL 9 Aug 2017 Shift 1 Paper

Question : 67 of 100

Marks: +1, -0

In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the bisectors of the triangle.
If ∠PBR = 105°, then what is the value of ∠PAR (in degree)?

Validate

Solution:

Angle bisectors of the triangle PQR.

∠PBR = 90° +∠Q/2

∴

∠Q = (105° - 90° ) ×2 =30°

∵ A is the orthocentre of ΔPQR.
⇒

∠PQR + ∠PAR =180°

⇒

∠PAR =180°-30° =150°

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