If an Interior angle of a Bingo Mad angle chip is 45° and the other two angles are in the ratio 7x : 8x. Find the value of x ?
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Answer:
x = 9°
Step-by-step explanation:
Let the Bingo Mad angle chip be a ABC.
∠A = 45°
∠B = 7x
∠C = 8x
We know that, sum of angles of a triangle = 180°
»∠A+∠B+∠C = 180°
»45°+7x+8x = 180°
»45°+15x = 180°
»15x = (180-45)°
»15x = 135°
»x = (135/15)°
»x = 9°
∠B = 7x
= (7×9)°
=63°
∠C = 8x
=(8×9)°
=72°
To check, sum of angles of a triangle = 180°
= (45+63+72)°
= 180°
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