Sainik School Entrance Exam 2019 Solved Paper

Question : 16 of 150

Marks: +1, -0

The value of

x+y+z

in the adjoining figure is

Solution:

△ P Q R

∠QPR = 180°-y°

∠PQR = 180°-z°

∠PRQ = 180°-x°

In a triangle, the sum of three angle is 180°
∴

∠QPR+∠PQR+∠PRQ = 180°

180°-y°+180-z°+180-x° = 180°

540-(x°+y°+z°) = 180°

x°+y°+z°=540-180°

x°+y°+z°=360°

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