Find adjacent angles KNC and CNB if the angle KNC is known to be 4 times greater than CNB.
| May 1, 2021 | education
1. ∠КNС is 4 times more than ∠СNВ according to the problem statement, that is ∠КNС = 4∠СNВ.
2. The total value of two adjacent angles, according to their properties, is 180 °:
∠КNС + ∠СNВ = 180 °. We replace ∠КNС with 4∠СNВ:
4∠СNВ + ∠СNВ = 180 °.
5∠СNВ = 180 °.
∠СNВ = 36 °.
∠КNС = 4∠СNВ = 4 x 36 ° = 144 °.
Answer: ∠СNВ = 36 °, ∠КNС = 144 °.
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