Question

find the measure of the missing angles.
answer attempt 2 out of 2
d = □° e = □° f = □°

Explanation:

Step1: Find \(d\) using vertical angles

Vertical angles are equal. So \(d = 112^{\circ}\)

Step2: Find \(e\) using supplementary angles

\(112^{\circ}+e + 42^{\circ}=180^{\circ}\) (straight - line angle). Then \(e=180^{\circ}-112^{\circ}-42^{\circ}=26^{\circ}\)

Step3: Find \(f\) using vertical angles

\(f\) and \(42^{\circ}\) are vertical angles. So \(f = 42^{\circ}\)

Answer:

\(d = 112^{\circ}\), \(e = 26^{\circ}\), \(f = 42^{\circ}\)