Problem

1. The diagram shows a parallelogram. What is the measure of angle $W$ ?
W= 2p + 81 and U= p + 99
Be sure to have all three parts of a CER answer: make a claim, provide evidence, and explain your reasoning for full credit.

Answer

Expert–verified
Hide Steps
Answer

Final Answer: The measure of angle \(W\) is \(\boxed{117}\) degrees.

Steps

Step 1 :In a parallelogram, opposite angles are equal. Therefore, the measure of angle W is equal to the measure of angle U.

Step 2 :We can set up an equation to solve for p, using the given expressions for W and U: \(2p + 81 = p + 99\).

Step 3 :Solving this equation gives \(p = 18\).

Step 4 :Substituting \(p = 18\) into the equation for W gives \(W = 2*18 + 81 = 117\).

Step 5 :Final Answer: The measure of angle \(W\) is \(\boxed{117}\) degrees.

link_gpt