Math, asked by nisha8257, 3 months ago

the measures of angles triangle are x°,(x-20°),(x-40°).find the measures of each angle​

Answers

Answered by dhiraj2140
0

Answer:

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Answered by pragna845
3

Answer:

Let us suppose the angles P, Q, R of a ΔPQR be x°, (x - 20)°, (x - 40)° respectively.

P + Q + R = 180∘ (Angle sum property)

⇒ x∘ + (x - 20)° + (x - 40)° = 180∘

⇒ 3x - 60° = 180°

⇒ 3x = 240°

⇒ x = 80°

Therefore,

P = 80∘

R = (80 - 20)° = 60∘

Q = (80 - 40)° = 40∘

Hence, the measure of each angle is 80∘, 60∘ and 40∘ respectively.

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