Question

, lines AB, CD, EF intersect at o find
the measures of angle AOE angle EOD when aoc is 30 degrees and bof is 30 degrees

Answer 1

Answer:

<AOE = 30° &<EOD = 120°

Step-by-step explanation:

Given that, <AOC = 30° & <BOF= 30°

<BOF & <AOE are vertically opposite angles

:. <BOF = <AOE

:. <AOE = 30°

Also <AOC and <BOD are vertically opposite angles

:. <BOD=30°

Since AB is a line <AOB = 180° [linear pair]

<AOB = <AOC +<EOD+<BOD

le. <AOC +<EOD+<BOD=180°

:. 30° + <EOD + 30°=180°

<EOD +60°=180°

:. <EOD = 180°-60°

= 120°