Question

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

Explanation:

Step1: Use linear - pair property for \(d\)

A linear pair of angles sums to \(180^{\circ}\). Since \(d\) and \(134^{\circ}\) form a linear pair, \(d = 180 - 134\).
\[d=180 - 134=46^{\circ}\]

Step2: Find \(e\)

We know that the sum of the angles \(20^{\circ}\), \(d\), and \(e\) is \(180^{\circ}\) (a straight - line angle). Substitute \(d = 46^{\circ}\) into the equation \(20 + d+e = 180\). Then \(e=180-(20 + d)\).
\[e = 180-(20 + 46)=114^{\circ}\]

Step3: Find \(f\)

Since \(e\) and \(f\) form a linear pair, \(f = 180 - e\). Substitute \(e = 114^{\circ}\) into the equation.
\[f=180 - 114 = 66^{\circ}\]

Answer:

\(d = 46^{\circ}\), \(e = 114^{\circ}\), \(f = 66^{\circ}\)