Question

find the measure of angles a, b, c, and d. 18° 11° a d b c progress: 0/4 part 1 of 4 m∠a= 148° need help?

Explanation:

Step1: Find angle \(d\)

Since \(a + d=180^{\circ}\) (linear - pair of angles), and \(a = 148^{\circ}\), then \(d=180^{\circ}-a\).
\(d = 180^{\circ}-148^{\circ}=32^{\circ}\)

Step2: Find angle \(b\)

\(b\) and the \(11^{\circ}\) angle are vertical angles. Vertical angles are equal. So \(b = 11^{\circ}\)

Step3: Find angle \(c\)

\(c\) and the \(18^{\circ}\) angle are vertical angles. Vertical angles are equal. So \(c = 18^{\circ}\)

Answer:

\(m\angle a = 148^{\circ}\), \(m\angle b=11^{\circ}\), \(m\angle c = 18^{\circ}\), \(m\angle d=32^{\circ}\)