Two straight lines AB and CD intersect at point O. A ray OE is drawn between rays OB and OD. Angle AOC = 52° and angle BOE = 35°. Find angle EOD.
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Worked Solution
Step 1: Identify the vertically opposite pair.
Angles AOC and BOD are vertically opposite (formed by two intersecting straight lines).
Therefore angle BOD = angle AOC = 52°.
Step 2: Ray OE lies between OB and OD, so angle BOD is split into two parts.
BOD = BOE + EOD
52° = 35° + EOD
Step 3: Solve for angle EOD.
EOD = 52° − 35° = 17°
Answer: 17°
Answer: 17°
Correct answer: 17°
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