Question

(b) problem 18: (first taught in lesson 51) find u, x, y, and z. after you enter your answer press go. u = x = y = z =

Explanation:

Step1: Find \(x\)

Vertical angles are equal. So \(x = 180^{\circ}- 110^{\circ}=70^{\circ}\)

Step2: Find \(z\)

\(z\) and \(110^{\circ}\) are supplementary angles. So \(z=180 - 110=70^{\circ}\)

Step3: Find \(y\)

Since \(AB = CD\) and \(AB\parallel CD\), \(AD = BC\) (parallelogram properties). In a parallelogram, opposite angles are equal. So \(y = 110^{\circ}\)

Step4: Find \(u\)

\(u\) and \(y\) are supplementary angles (adjacent angles in a parallelogram). So \(u = 180 - 110=70^{\circ}\)

Answer:

\(u = 70\), \(x = 70\), \(y = 110\), \(z = 70\)