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in figure given below triangle ABC congruence tu triangle d e f such that AB is equal to AC is equal to DF and BC is equal to find X and Y on the basis of data provided in the diagram |
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Answer» Step-by-step explanation:
LET the angle A be x We know, SUM of angles of a triangle = 180° Therefore, x + (x - 5) + 25 = 180 x + (x - 5) + 25 = 180 =) 2x - 5 + 25 = 180 x + (x - 5) + 25 = 180 =) 2x - 5 + 25 = 180=) 2x = 180 + 5 - 25 x + (x - 5) + 25 = 180 =) 2x - 5 + 25 = 180=) 2x = 180 + 5 - 25=) 2x = 160 x + (x - 5) + 25 = 180 =) 2x - 5 + 25 = 180=) 2x = 180 + 5 - 25=) 2x = 160=) x = 160/2 x + (x - 5) + 25 = 180 =) 2x - 5 + 25 = 180=) 2x = 180 + 5 - 25=) 2x = 160=) x = 160/2=) x = 80° |
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