Question

find the measure of angles a, b, c, and d. progress: 0/4 part 1 of 4 m∠a = 32° need help?

Explanation:

Step1: Calculate angle \(a\)

\(a = 15^{\circ}+17^{\circ}=32^{\circ}\)

Step2: Calculate angle \(b\)

Since \(a\) and \(b\) are vertical angles, \(b = a = 32^{\circ}\)

Step3: Calculate angle \(c\)

Assume the lines are such that \(c = 17^{\circ}\) (vertical - angle relationship with the \(17^{\circ}\) angle)

Step4: Calculate angle \(d\)

\(d = 15^{\circ}\) (vertical - angle relationship with the \(15^{\circ}\) angle)

Answer:

\(m\angle a = 32^{\circ}\), \(m\angle b = 32^{\circ}\), \(m\angle c = 17^{\circ}\), \(m\angle d = 15^{\circ}\)