1.

3. The measures of angles of a triangle are x°,(x-20), (x-40) Find the measure of each angle.​

Answer»

Given :-

  • Measure of 1ST angle :- x°
  • Measure of 2nd angle :- x -20°
  • Measure of 3RD angle :- x - 40°

We know that sum of three angles of a triangle is 180°

So, simply we will add up all the angles and equal to 180.

We will GET the value of x

Then, simply we can subsitute values

→ x + x - 20 + x - 40 = 180

→ x + x + x - 20 - 40 = 180

→ 3X -60 = 180

→ 3x = 180 + 60

→ 3x = 240

→ x = 240/3

→ x = 80

Thus, we got the value of x i.e 80

Subsituting Values :-

  • Measure of 1st angle = x = 80°
  • Measure of 2nd angle = x - 20 = 80 - 20 = 60°
  • Measure of 3rd angle = x - 40 = 80 - 40 = 40°

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