Question

quiz: measuring segments hs: geometry a m (sequential) / 1: tools of geometry 3. look at the diagram. which angle is complementary to ∠eod? ∠aob ∠eoc ∠eod

Explanation:

Step1: Recall complementary - angle definition

Two angles are complementary if their sum is 90°.

Step2: Analyze the diagram

We know that ∠EOC = 90° and ∠EOD+∠DOC = ∠EOC. Given ∠EOC = 90°, if we want to find the angle complementary to ∠EOD, we need to find ∠DOC. But among the options, we note that ∠AOB and ∠DOC are vertical - angles. Since vertical angles are equal, and ∠DOC is complementary to ∠EOD, then ∠AOB is also complementary to ∠EOD.

Answer:

∠AOB