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In , ΔABC, ∠A = x ∠B = 5x and ∠C = y if 3y – 5x = 30°, show that triangle is right angled.

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asked Mar 15, 2018 in Mathematics by shabnam praween (19,050 points) ● 5 ● 6 ● 8
In , ΔABC, ∠A = x ∠B = 5x and ∠C = y if 3y – 5x = 30°, show that triangle is right angled.

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answered Mar 15, 2018 by mdsamim (213,225 points) ● 5 ● 10 ● 15
selected Mar 20, 2018 by faiz
 
Best answer

∠A + ∠B + ∠C = 180° (Angle sum property of D)
⇒ x + 3x + y = 180°
⇒ 4x + y = 180° ...(i)
Given 3y – 5x = 30° ...(ii)
Multiply (i) by 3 and substracting from (ii)

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