Question

delta #8 9/22 due: september 28 at 11:59 pm grade: 35% vertical/adjacent/complementary angles l1 vertical/adjacent/complementary angles l1 vertical/adjacent/complementary angles l2 angle terminology with equations identify angles with terminology answer attempt 2 out of 2 g = 71° h = 109° k = 96° m = 84° submit answer

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. Since $h$ and the given $109^{\circ}$ angle are vertical angles, $h = 109^{\circ}$. Also, $m$ and the given $84^{\circ}$ angle are vertical angles, so $m=84^{\circ}$.

Step2: Identify supplementary - angle relationship

Adjacent angles on a straight - line are supplementary (sum to $180^{\circ}$). For the angle adjacent to $h$, $g + h=180^{\circ}$. Substituting $h = 109^{\circ}$, we get $g=180 - 109=71^{\circ}$.

Step3: Identify supplementary - angle relationship for $k$

For the angle adjacent to $m$, $k + m=180^{\circ}$. Substituting $m = 84^{\circ}$, we get $k=180 - 84 = 96^{\circ}$.

Answer:

$g = 71^{\circ}$, $h = 109^{\circ}$, $k = 96^{\circ}$, $m = 84^{\circ}$