An OA beam is drawn inside the COE angle, and an OB beam is drawn inside the AOE angle.
| August 23, 2021 | education
An OA beam is drawn inside the COE angle, and an OB beam is drawn inside the AOE angle. The degree measure of the AOC angle is 47.2 °. The AOB angle is 18.4 ° less than the AOC angle and 26.5 ° less than the BOE angle. Find the COE angle.
By condition, the angle AOB is less than the angle AOC by 18.40, then the angle AOB = 47.2 – 18.4 = 28.8.
The angle AOB is less than the angle BOE by 26.50, then the angle BOE = AOB + 26.5 = 28.8 + 26.5 = 55.3.
The angle COE is equal to the sum of the angles AOC, AOB, BOE.
COE = AOC + AOB + BOE = 47.2 + 28.8 + 55.3 = 131.3.
Answer: Angle COE = 131.3.
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