Подобны ли треугольники авс и dfe если в этих треугольниках а=36(гр) в=34(гр) e=110(гр)f=34(гр)

Втреугольнике авс сумма углов равна 180° угол с равен 180°-угол а -  угол b угол с равен 110° углы треугольника авс 36° ; 34°; 110° два угла треугольника def    34°  и 100° ответ. треугольники подобны по двум углам между прочим третий угол треугольника def - угол d  равен 180°-110°-34°=36°

1. <ACB = 70°

2. <FED = 90°, <EFD = 70°

3. <MKL = 70°, <MLK = 70°

4. <NPO = 30°, <ONP = 120°

5. <B = 90°, <CAB = 45°, <ACB = 45°

6. <C = 60°, <B = 60°, <A = 60°

7. <ACB = 100°

8. <BAF = 30°, <ABF = 80°

9. <DAC = 40°, <CDA = 40°

10. <CDE = 110°, <DEC = 35°, <DCE = 35°

Объяснение:

1. <ACB = 180° - (50° + 60°) = 70°

2. <FDE = 90° => <EFD = 90° - 20° = 70°

3. MK = ML => треугольник равнобедренный => <MKL = <MLK = (180° - 40°) : 2 = 70°

4. PN = ON => треугольник равнобедренный => <NOP = <NPO = 30°

<ONP = 180° - (30° + 30°) = 120°

5. <B = 90°, AB = BC => труегольник прямоугольный и равнобедренный => <CAB = <ACB = 90° : 2 = 45°

6. тругольник CDE равносторонний => <C = <D = <E = 180° : 3 = 60°

7. <ACB = 180° - (40° + 40°) = 100°

8. <BAF и <BAC смежные => <BAF = 180° - 150° = 30°

<ABF = 180° - (70° + 30°) = 80°

9. <DAC и <BAC смежные => <DAC = 180° - 140° = 40°

AC = CD => треугольник равнобедренный => <DAC = <CDA = 40°

10. <CDE и <ADC смежные => <CDE = 180° - 70° = 110°

ED = DC => <DEC = <DCE = (180° - 110°) : 2 = 35°

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