Question

use the figure to find the measure of angles aob, aoe, and eod.

Explanation:

Step1: Identify right - angle for ∠AOB

Since the symbol indicating a right - angle is shown for ∠AOB, by definition of a right - angle, its measure is 90°.

Step2: Identify straight - angle for ∠AOE

∠AOE is a straight - angle. A straight - angle measures 180°.

Step3: Find measure of ∠EOD

Given that the measure of the angle adjacent to ∠EOD is 44°. Since ∠AOE is a straight - angle (180°) and we know part of the angle from OA to OD is 44°, then ∠EOD=180° - 90° - 44° = 46°.

Answer:

∠AOB = 90°, ∠AOE = 180°, ∠EOD = 46°