Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

adjacent angles practice quiz name: ____ hr. solve for the missing angl…

Question

adjacent angles practice quiz name: ____ hr. solve for the missing angles. m∠afc = 107 m∠cfd =

Explanation:

Step1: Recall angle - sum property

Adjacent angles on a straight - line sum to 180°. Since $\angle AFC$ and $\angle CFD$ are adjacent angles and form a straight - line at point F, we use the formula $m\angle AFC + m\angle CFD=180^{\circ}$.

Step2: Solve for $\angle CFD$

We know that $m\angle AFC = 107^{\circ}$. Substitute into the formula: $m\angle CFD=180^{\circ}-m\angle AFC$.
$m\angle CFD = 180 - 107$.
$m\angle CFD = 73^{\circ}$.

Answer:

$73^{\circ}$