Question

In parallelogram ABCD, AB = (2x + 15) and 4C = x. Find x.
O55
O60
O15
O45

Answer 1

x = 55

Explanation:

ABCD is a paralellogram, m∠ABC = 2x + 15, m∠BCD = x

m∠ABC + m∠BCD = 180° (same side interior angles)

2x + 15 + x = 180

3x + 15 = 180 -15

3x = 165

x = 55