Question

find the measure of the missing angles.
answer attempt 2 out of 2
g = 49° h = 131°
k = 54° m = 126°

Explanation:

Step1: Find \(g\)

Use the fact that adjacent angles on a straight line sum to \(180^{\circ}\).
\(g + 131^{\circ}=180^{\circ}\)
\(g=180^{\circ}- 131^{\circ}=49^{\circ}\)

Step2: Find \(h\)

\(h\) and \(131^{\circ}\) are vertical angles. Vertical angles are equal.
So \(h = 131^{\circ}\)

Step3: Find \(k\)

\(k\) and \(54^{\circ}\) are vertical angles. Vertical angles are equal.
So \(k = 54^{\circ}\)

Step4: Find \(m\)

Use the fact that adjacent angles on a straight line sum to \(180^{\circ}\).
\(m+54^{\circ}=180^{\circ}\)
\(m = 180^{\circ}-54^{\circ}=126^{\circ}\)

Answer:

\(g = 49^{\circ}\), \(h = 131^{\circ}\), \(k = 54^{\circ}\), \(m = 126^{\circ}\)