ABCD is a rhombus with ∠ABC = 52º. The measure of ∠ACD is :
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 64º
AC and BD are the angle bisectors.
∠ABC = 52º
In Triangle ABC,
∠ABC + ∠BAC + ∠BCA = 180
52 + x + x = 180
x = 64°
∠ACB = ∠ACD = 64° (AC is the angle bisector of ∠A and ∠C)