Question

EFGH is a parallelogram. Find m

Answer 1

70°

Explanation:

Sum of angles in a parallelogram is 360°

Opposite angles are equal

2(16x - 2) + 2(8x + 14) = 360°

32x - 4 + 16x + 28 = 360°

32x + 16x + 28 - 4 = 360°

48x + 24 = 360°

48x = 360 - 24

48x = 336

x = 7

m< E = 8x + 14

Substitute for x

= 8(7) + 14

= 56 + 14

= 70°