NIFT UG 2015 Question Paper with solutions

Question : 65 of 150

Marks: +1, -0

The angle between the two altitudes of a parallelogram through the same vertex of an obtuse angle of the parallelogram is 30°. The measure of the obtuse angle is ........

105°
95°
100°
150°

Validate

Solution:

Let, ABCD is a parallelogram with obtuse angle ∠BAD = ∠BCD = x
CE and CF are ⊥ on AD and AB.
Then, from quadrilateral CEAF,

30°+90°+x+90°=360°

210°+x=360°

x=360°–210°

∴ Obtuse angle, x = 150°.

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