The angle between rays a and b is 143 degrees, and the angle between rays a and c is 29 degrees less
| June 20, 2021 | education
The angle between rays a and b is 143 degrees, and the angle between rays a and c is 29 degrees less than the angle between rays b and c. Find the angle bc if ray c passes between rays a and b
Let the value of the angle BОС be equal to X0, then, by condition, the value of the angle AOС = (X – 29) 0.
Then the angle AOB = BOC + AOC = 143.
X + X – 29 = 143.
2 * X = 143 + 29 = 172.
X = BOC = 172/2 = 86.
Answer: The BOC angle is 86.
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