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Find the value of x in the following figures |
Answer» x = 27°Step-by-step explanation: GIVENM = 3x - 17° N = x + 40° O = 2x - 5° ___________________________TO FINDx ___________________________We know that, Sum of all interior angles of a triangle is 180° M + N + O = 180° ( Interior Angles Of A Triangle ) 3x - 17°+ x + 40° + 2x - 5° = 180° 3x + x + 2x - 17° + 40° - 5° = 180° 6x + 18° = 180° 6x = 180 - 18 6x = 162 x = 162 / 6 x = 27 x = 27°___________________________Let's check the VALUE of x = 27°M = 3x - 17°M = 3 × 27 - 17 M = 81 - 17 M = 64 M = 64°N = x + 40°N = 27 + 40 N = 67 N = 67°O = 2x - 5°O = 2 × 27 - 5 O = 54 - 5 O = 49 O = 49°We know that, Sum of all interior angles of a triangle is 180° M + N + O = 180° ( Interior Angles Of A Triangle ) 64° + 67° + 49° = 180° 18°0 = 180° x = 27° |
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