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°

━━━━━━━━━━━━━━━━━━━━━━━━━━


Discussion

No Comment Found

Related InterviewSolutions