TWO ANGLES OF A TRIANGLE ARE IN THE RATIO OF 4:5 IF THE SUM OF THESE ANGLES IS EQUAL TO THE THIRD ANGLE FIND THE ANGLES OF TRIANGLE
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Let the triangle be ABC
Step-by-step explanation:
Given:∆A = 4x ∆B= 56x
∆C = ∆A + ∆B =∆C = 4x +5x=9x By angle sum property ∆A +∆B +∆C =180° =4x + 5x + 9x = 180° 18x = 180° x = 180°/ 18 = 10° = ∆A = 4x =4(10) = 40°
∆B = 5x =5(10) = 50°
∆c = 9x =9(10)= 90°
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