Question

find the measure of angles a, b, c, and d.
part 1 of 4
m∠a = 32°

Explanation:

Step1: Calculate angle \(a\)

Angle \(a\) is the sum of \(15^{\circ}\) and \(17^{\circ}\).
\(a = 15^{\circ}+17^{\circ}\)
\(a = 32^{\circ}\)

Step2: Calculate angle \(b\)

Assume the figure is formed by intersecting lines (vertical angles). If \(a\) and \(b\) are vertical angles, \(b=a\).
\(b = 32^{\circ}\)

Step3: Calculate angle \(c\)

Assume adjacent angles. If \(c\) and \(17^{\circ}\) are vertical angles (by symmetry of intersecting lines), \(c = 17^{\circ}\)

Step4: Calculate angle \(d\)

Assume adjacent angles. If \(d\) and \(15^{\circ}\) are vertical angles (by symmetry of intersecting lines), \(d = 15^{\circ}\)

Answer:

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