Question

find ∠h in the figure given below. assume that the lines are parallel. a 110° b 70° c 80° d 50°

Explanation:

Step1: Find the measure of \(d\)

Since \(b\) and \(d\) are vertical angles, \(d = b\). Given \(b=110^{\circ}\), so \(d = 110^{\circ}\).

Step2: Find the measure of \(c\)

\(c\) and \(d\) are supplementary angles (\(c + d=180^{\circ}\)). Substitute \(d = 110^{\circ}\), then \(c=180^{\circ}-110^{\circ}=70^{\circ}\).

Step3: Find the measure of \(h\)

\(h\) and \(c\) are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are equal. So \(h = c = 70^{\circ}\).

Answer:

B. \(70^{\circ}\)