The angle between rays m and c is 157 degrees, and the angle between rays n and c is 39 degrees
April 27, 2021 | education
| The angle between rays m and c is 157 degrees, and the angle between rays n and c is 39 degrees greater than the angle between rays m and n. Find the angle (nc) if ray n passes between rays m and c.
Let the magnitude of the angle MOH be equal to X0, then, by condition, the magnitude of the angle HOC = (X + 39) 0.
Then the angle СОМ = HОС + МОH = 157.
X + X + 39 = 157.
2 * X = 157 – 39 = 118.
X = MOH = 118/2 = 59.
Angle HOC = 59 + 39 = 98.
Answer: The HOC angle is 98.
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