Question

the measure of angle a is 40°. use the angle relationships provided to find the measure of angle y. solve on paper if youd like, then enter your answer on zearn. d + v = 180 x + y = 90 v = x d + a = 180

Explanation:

Step1: Find the value of \(d\)

Given \(d + a=180\) and \(a = 40\), substitute \(a\) into the equation:
\(d+40 = 180\)
\(d=180 - 40\)
\(d = 140\)

Step2: Find the value of \(v\)

Given \(d + v=180\), substitute \(d = 140\) into the equation:
\(140+v=180\)
\(v=180 - 140\)
\(v = 40\)

Step3: Find the value of \(x\)

Given \(v=x\), since \(v = 40\), then \(x = 40\)

Step4: Find the value of \(y\)

Given \(x + y=90\), substitute \(x = 40\) into the equation:
\(40+y=90\)
\(y=90 - 40\)
\(y = 50\)

Answer:

\(50^{\circ}\)