Question

11.)-If PQRS is a parallelogram, find the values of x and y.

12.)- If ABCD is a parallelogram, find m C

Answer 1

Explanation:

For no. 11

13x + 15 = 19x - 9 ( being opposite sides of parallelogram)

19x - 13x = 15 + 9

6x = 24

x = 4

Also,

4y + 7 ° + 10y - 37° = 180° { being co-interior angles }

14y - 30° = 180°

14y = 210°

y = 210° / 14

y = 15°

For no. 12

5x + 38° = 8x - 19° { being opposite angles of parallelogram }

8x - 5x = 38° + 19°

3x = 57°

x = 19°

Hope it will help :)