Question

find the measure of the missing angles.
answer
attempt 1 out of 3
g = □° h = □°
k = □° m = □°

Explanation:

Step1: Find the measure of \(h\)

Since \(h\) and \(93^{\circ}\) are supplementary angles (they form a straight - line), \(h + 93^{\circ}=180^{\circ}\).
So, \(h=180^{\circ}-93^{\circ}\).

Step2: Find the measure of \(g\)

\(g\) and \(93^{\circ}\) are vertical angles. Vertical angles are equal. So \(g = 93^{\circ}\).

Step3: Find the measure of \(k\)

Since \(k\) and \(122^{\circ}\) are supplementary angles (they form a straight - line), \(k + 122^{\circ}=180^{\circ}\).
So, \(k=180^{\circ}-122^{\circ}\).

Step4: Find the measure of \(m\)

\(m\) and \(122^{\circ}\) are vertical angles. Vertical angles are equal. So \(m = 122^{\circ}\).

Answer:

\(g = 93^{\circ}\), \(h=87^{\circ}\), \(k = 58^{\circ}\), \(m = 122^{\circ}\)