Angle ABC = 180 degrees, beam BK divides ABC into 2 angles so that one angle is 3 times larger than the other.
| August 8, 2021 | education
Angle ABC = 180 degrees, beam BK divides ABC into 2 angles so that one angle is 3 times larger than the other. Find these corners.
Let the value of the angle ABK be equal to X0, then, by condition, the value of the angle СBK is equal to 3 * X0.
Angle ABC = 180 = ABK + СBK = X + 3 * X.
4 * X = 180.
X = 180/4 = 45.
Angle ABK = 45, angle СBK = 3 * 45 = 135.
Answer: Angle ABK is 45, angle СBK is 135.
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