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# If an Angle of a Parallelogram is Two-third of Its Adjacent Angle, the Smallest Angle of the Parallelogram is - Mathematics

MCQ

If an angle of a parallelogram is two-third of its adjacent angle, the smallest angle of the parallelogram is

#### Options

• 108°

• 54°

• 72°

• 81°

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#### Solution

Let one of the angle of the parallelogram as x°

Then the adjacent angle becomes 2/3 x°

We know that the sum of adjacent angles of the parallelogram is supplementary.

Therefore,

x + 2/3x = 180°

5/3 X = 180°

x = 180 (3/5)

x = 108°

Thus, the angle adjacent to 108°

= 2/3 (108°)

= 72°

Therefore, the smallest angle of the parallelogram as 72°

Hence, the correct choice is (c).

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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 13 Quadrilaterals
Q 19 | Page 72
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