Point C is taken between the sides of the angle AOB equal to 120 °. Find the value of the angle AOC if it is known
| December 7, 2020 | education
Point C is taken between the sides of the angle AOB equal to 120 °. Find the value of the angle AOC if it is known that the difference between the angles AOC and COB is four times less than their sum.
(AOC + COB) × 4 = AOC + COB
AOB = 120 °
AOC + COB = 120 °
(AOS-SOV) = 30 °
AOC = 30 ° + COB
120 ° = 30 ° + COB + COB
2СОВ = 90 °
COB = 95 °
AOC = 30 ° + 45 ° = 75 °
Answer: AOC = 75 °
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