The figure is a parallelogram. The m∠ACD = (4x + 4)° and m∠ABD = (6x - 14)°. Find m∠ACD.
9°, 24°, 40°, 60°

Solution:

Given, the figure is a parallelogram

Also, m∠ACD = (4x + 4)° and m∠ABD = (6x - 14)°.

We have to find the value of m∠ACD.

A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal.

We know that the opposite angles of a parallelogram are equal.

From the figure,

∠ACD = ∠ABD

(4x + 4)° = (6x - 14)°

4x - 6x = -14 - 4

-2x = -18

2x = 18

x = 18/2

x = 9

∠ACD = (4x + 4)° = 4(9) + 4

= 36 + 4

= 40°

Therefore, ∠ACD = 40°

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The figure is a parallelogram. The m∠ACD = (4x + 4)° and m∠ABD = (6x - 14)°. Find m∠ACD.

Summary:

The figure is a parallelogram. The m∠ACD = (4x + 4)° and m∠ABD = (6x - 14)°. The value of m∠ACD is 40°.