Question

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

Explanation:

Step1: Identify right - angle for ∠AOB

Since the vertical and horizontal lines are perpendicular, ∠AOB = 90°.

Step2: Calculate ∠AOE

∠AOE is a right - angle plus the 44° angle. So ∠AOE=90° + 44° = 134°.

Step3: Calculate ∠EOD

∠EOD is complementary to the 44° angle. So ∠EOD = 90°-44° = 46°.

Answer:

∠AOB = 90°, ∠AOE = 134°, ∠EOD = 46°