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Find the values of x and y in the following parallelogram.

Solution:

Given, the figure represents a parallelogram.

We have to find the values of x and y.

We know that the adjacent angles of a parallelogram are supplementary.

So, 120° + (5x + 10)° = 180°

130° + 5x = 180°

5x = 180° - 130°

5x = 50°

x = 50°/5

x = 10°

We know that the opposite angles of a parallelogram are equal.

6y = 120°

y = 120°/6

y = 20°

Therefore, the values of x and y are 10° and 20°.

✦ Try This: Find the values of x and y in the following parallelogram.

Find the values of x and y in the following parallelogram

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 161

Summary:

The values of x and y in the given parallelogram are 10° and 20°.

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