Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

example 3 refer to the figure. 13. name two adjacent angles. 14. name t…

Question

example 3 refer to the figure. 13. name two adjacent angles. 14. name two vertical angles. 15. find m∠deb.

Explanation:

Step1: Recall angle - sum property

Adjacent angles on a straight - line sum to 180°. $\angle FED = 104^{\circ}$, and $\angle FED+\angle DEB = 180^{\circ}$.

Step2: Solve for $\angle DEB$

$m\angle DEB=180^{\circ}-m\angle FED$.
Substitute $m\angle FED = 104^{\circ}$ into the equation: $m\angle DEB=180 - 104$.
$m\angle DEB = 76^{\circ}$.

Answer:

$76^{\circ}$