Таблица 7.2 Измерение углов
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1. ∠АОС = ∠АОВ + ∠СОВ = 45° + 21° = 66°2. ∠FDK = ∠EDK - ∠EDF = 36° - 21° = 15°3.  ∠ABC = ∠ABD + ∠CBD∠ABD = x∠DBC = x + 26°x  + x + 26° = 72°2x = 46°x = 23°∠ABD = 23°∠DBC = 23° + 26° = 49°4. ∠ABD = ∠ABC + ∠CBD∠ABC = x∠CBD = 4xx + 4x = 100°5x = 100°x = 20°∠ABC = 20°∠CBD = 4 · 20° = 80°5. 1) ∠BAD = ∠BAC + ∠CAD∠CAE = ∠DAE + ∠CADТак как ∠BAC = ∠DAE, то и ∠BAD = ∠CAE2) ∠BAD = ∠BAC + ∠CAD∠CAE = ∠DAE + ∠CADТак как ∠BAD = ∠CAE, то и ∠BAC = ∠DAE6. ∠ABC = ∠ABD - ∠CBD = 85° - 40° = 45°∠ABE = ∠ABC + ∠CBE = 45° + 45° = 90°7. ∠POK = ∠MOK - ∠MOP = 110° - 73° = 37°∠NOK = ∠NOP + POK = 64° + 37° = 101°8. ∠AOD + ∠DOK = 90°∠DOK + ∠KOE = 90°, значит ∠AOD = ∠KOE.∠KOE + ∠EOB = 90°∠DOK + ∠KOE = 90°, значит  ∠DOK = ∠EOB.9. 1) ∠AOE = ∠AOC + ∠COE = 96°∠AOC = 2∠BOC∠COE = 2∠COD2(∠BOC + ∠COD) = 96°∠BOC + ∠COD = 48°∠BOD = ∠BOC + ∠COD = 48°2) ∠BOD = 42°∠BOD = ∠BOC + ∠COD = 42°∠AOC = 2∠BOC∠COE = 2∠COD, ⇒ ∠AOC + ∠COE = 2 · 42° = 84°∠AOE = ∠AOC + ∠COE = 84°10. ∠ABD = ∠ABC + ∠CBDПусть х - коэффициент пропорциональности.∠ABC = 3x∠CBD = 4x3x + 4x = 105°7x = 105°x = 15°∠ABC = 3 · 15° = 45°∠CBD = 4 · 15° = 60°