Question

. The measure of angles of a triangle are x° , (x-20°) and (x-40°) measure of each angle​

Answer 1

Answer:

80° , 60° & 40° respectively.

Step-by-step explanation:

Measure of the angles of the Triangle are:

Angle 1: x°

Angle 2: (x - 20°)

Angle 3: (x - 40°)

We know,

The sum of all the angles of a triangle is equal to 180°  [Angle Sum Property]

∴  x + (x-20) + (x-40) = 180

⇒ 3x - 60 = 180

⇒ 3x = 180+60

⇒ 3x = 240

⇒  x = 240 ÷ 3

⇒  x = 80

∴ Angle 1 = 80°

  Angle 2 = (x-20)

                = (80 - 20)

                = 60°

  Angle 3 = (x-40)

                = (80-40)

                = 40°

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