ABCD is a parallelogram in which ∠ADC = 75° and side AB is produced to point E as shown in the figure. Find x + y.

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150^o

210^o

170^o

110^o

answer is C.

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Detailed Solution

Quadrilaterals Class 9 Extra Questions Maths Chapter 8 with Solutions Answers 2
Here, ∠C and ∠D are adjacent angles of the parallelogram.
∴ ∠C + ∠D = 180°
⇒ x + 75° = 180°
⇒ x = 105°
Also, y = x = 105° [alt. angles]
Thus, x + y = 105° + 105° = 210°.

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