Question

In parallelogram ABCD angle A is (6 y+5)° and angle B is (10 y-1). Determine the
measure of angle C.

Answer 1

Answer:

<C = 71degrees

Step-by-step explanation:

The length of opposite side of a parallelogram is 180degrees, hence;

<A + <B = 180

6y+5 + 10y - 1 = 180

16y + 4 = 180

16y = 180 - 4

16y = 176

y = 176/16

y = 11

<A = <C = 6y+5

<C = 6(11)+5

<C = 66+5

<C = 71degrees

Hence the measure of C is 71degrees

Answer 2

The measure of angle C is 71 degrees.

Properties of parallelogram:

• opposite sides are parallel and equal

• opposite angles are equal
• adjacent angles are supplementary(The sum is 180 degrees)

Therefore,

∠A = 6y + 5

B = 10y - 1

Therefore, Angle A and B are supplementary.

6y + 5 + 10y - 1 = 180

16y + 4 = 180

16y = 176

y  = 176 / 16

y = 11

angle A is opposite to angle C. Therefore,

∠C = ∠A

∠C = 6(11) + 5 = 71°

learn more on parallelogram here:https://brainly.com/question/1563728