Question

In the given figure, find x and find the measure of ∠A, ∠B and ∠C.

Answer 1

Answer:

5x-60+2x+40+3x-80=180

10x-100=180

x=28

∠A=5x-60

     =5*28-60

     =80 degree

Answer 2

By Angle Sum Property,

∠A + ∠B + ∠C = 180°

⇒ (5x - 60)° + (2x + 40)° + (3x - 80)° = 180°

⇒ 5x - 60 + 2x + 40 + 3x - 80 = 180°

⇒ 10x - 100 = 180°

⇒ 10x = 180 + 100

⇒ 10x = 280

⇒ x = 280 ÷ 10

⇒ x = 28

Now let's substitute value of x in finding out ∠A, ∠B, ∠C.

∠A = (5x - 60)° = 5(28) - 60 = 80°

∠B = (2x + 40)° = 2(28) + 40 = 96°

∠C = (3x - 80)° = 3(28) - 80 = 4°

Angle Sum property states that the Sum of all angles in any given Triangle is always 180°

∴ 3 angles are 80°, 96°, 4°