Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

problems 2 - 3 select two angles that form a pair of vertical angles in…

Question

problems 2 - 3 select two angles that form a pair of vertical angles in the diagram. ∠adb ∠bdc ∠cde ∠fde ∠fda ∠bdf

Explanation:

Step1: Recall vertical - angles definition

Vertical angles are formed when two lines intersect, and they are opposite each other.

Step2: Identify intersecting lines

Lines $AB$ and $FC$ intersect at point $D$.

Step3: Find vertical - angle pairs

$\angle BDC$ and $\angle FDA$ are vertical angles as they are opposite each other at the intersection of lines $AB$ and $FC$. Also, $\angle ADB$ and $\angle FDE$ are vertical angles.

Answer:

$\angle ADB,\angle FDE$; $\angle BDC,\angle FDA$