Question

in the figure, ( mangle3 = 75^circ ) and ( mangle10 = 105^circ ). find the measure of ( angle14 ).

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. $\angle10$ and $\angle14$ are vertical angles.

Step2: Determine the measure of $\angle14$

Since $\angle10 = 105^{\circ}$, and $\angle10\cong\angle14$ (vertical angles), so $m\angle14=105^{\circ}$.

Answer:

$105$