Question

In the parallelogram shown below, calculate the m∠BAD

Answer 1

The measure of the angle is 141 degrees.

To determine the angle, we need to know that;

• Opposite sides of a parallelogram are equal
• Opposite angles are also equal
• The diagonal divides it into two equal parts.

Then, we have that'

14c + 15 = 16c - 3

collect the like terms, we get;

14c - 16c = -3 - 15

subtract the like terms, we have;

-2c = -18

divide both sides by the coefficient of c, we have;

c = -18/-2

c = 9

ABC = 14c + 15 = 14(9) + 15

expand the bracket

= 126 + 15 = 141 degrees