Question

The diagram shows a parallelogram. What is the measure of angle W?

Be sure to have all three parts of a CER answer: make a claim, provide evidence, and explain your reasoning for full credit.

Answer 1

The measure of angle W in parallelogram VWTU is 117 degrees.

To find the measure of angle W in parallelogram VWTU, we need to use the fact that opposite angles in a parallelogram are congruent. Since angle VWT is given as 2p + 81 degrees, angle TUV is given as p + 99 degrees, and angle VWT is opposite angle TUV, we can set up an equation:

2p + 81 = p + 99

Simplifying the equation, we get:

p = 18

Now, substitute the value of p into the expression for angle VWT:

Angle VWT = 2p + 81 = 2(18) + 81 = 117 degrees

So, the measure of angle W in parallelogram VWTU is 117 degrees.