The MOH angle is 154 degrees. Ray OE divides this ray into two angles so that the ratio of their
August 4, 2021 | education
| The MOH angle is 154 degrees. Ray OE divides this ray into two angles so that the ratio of their degrees is 1 to 3. Find these angles.
Let the value of the angle EOН be equal to X0, then, by condition, the value of the angle MOE = 3 * X0.
Then the angle HOM = HOE + MOE = 154.
X + 3 * X = 154.
4 * X = 1540.
X = EOН = 154/4 = 38.5.
Angle MOE = 3 * 38.5 = 115.5.
Answer: Angle EOН is 38.5, angle MOE is 115.5.
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