Question

ABCD is rhombus with ∠ABC = 30°. The measure of ∠ACD is 75°

• A. 60°
• B. 75°

Answer 1

The correct option is A

60°

∠ABC = ${30}^{\circ }$ (Given)

∠BCD = ${180}^{\circ }$ - ${30}^{\circ }$ = ${150}^{\circ }$ (Adjacent angles of a parallelogram are supplementary)

Here AC is the diagnol and diagnol bisect the angle of rhombus

∠ACD = $\frac{1}{2}$ ∠BCD = $\frac{1}{2}$ × ${150}^{\circ }$ = ${75}^{\circ }$