Question

ABCD is a rhombus with <ABC = 58°. Find
<ACD​

Answer 1

Answer:

61°

Step by Step expanation:

Answer 2

Answer :

The measure of ∠ACD is 61°

Step-by-step explanation :

To Find,

• Find ∠ACD

Solution,

Given that,

• ABCD is a rhombus
• ∠ABC = 58°

As, we know that,

Consecutive angles of a rhombus are supplementary.

Therefore,

∠BCD = 180° - ∠ABC

∠BCD = 180° - 58°

∠BCD = 122°

∴ ∠BCD = 122°

Now, we can get the measure of ∠ACD by dividing ∠BCD with 2 as diagonals bisects the interior angles of a rhombus.

∠ACD = ∠BCD / 2

∠ACD = 122 / 2

∠ACD = 61

∴ Hence, ∠ACD = 61°.