Question

answer attempt 1 out of 2

$g = \square ^ { \circ }$
$h = \square ^ { \circ }$
$k = \square ^ { \circ }$
$m = \square ^ { \circ }$

Explanation:

Step1: Find \(h\)

Since \(h\) and the \(63^{\circ}\) angle are supplementary (they form a linear pair), \(h = 180^{\circ}-63^{\circ}=117^{\circ}\)

Step2: Find \(g\)

\(g\) and \(63^{\circ}\) are vertical angles. Vertical angles are equal, so \(g = 63^{\circ}\)

Step3: Find \(m\)

\(m\) and \(29^{\circ}\) are supplementary (they form a linear pair), \(m = 180^{\circ}-29^{\circ}=151^{\circ}\)

Step4: Find \(k\)

\(k\) and \(29^{\circ}\) are vertical angles. Vertical angles are equal, so \(k = 29^{\circ}\)

Answer:

\(g = 63^{\circ}\), \(h = 117^{\circ}\), \(k = 29^{\circ}\), \(m = 151^{\circ}\)