Question

find the value of x? ​

Answer 1

Answer:

Given :-

∠CAB = 80°

Find :-

Value of X

Now,

For solving this we  need to know two things :-

• Vertically opposite angles are equal.
• Sum of 3 sides of a triangle is 180°

So,

∠ABC = ∠ABD [Vertically opposite angles are equal]

∠ABC = 3X

So, now we have to apply  the condition which is given in the second point so, that is

∠ABC + ∠BCA + ∠CAB = 180° [Sum of 3 sides of a triangle is 180°]

3X + X + 80° = 180°

Now , adding up both the X and bringing 80° to right side just to simplify them , so the symbol of 80 changes to negative 80

4X = 180°- 80°

4X = 100°

x =  100/4

x = 25

So, let's verify your answer

Verify

So, we got Value of X that is 25° so, 3x = 3×25° = 75°

So, as we know sum of 3 angles of a triangle is 180° so,

3x+x+80°=180°

75°+25°+80°=180°

180°=180°

∵L.H.S = R.H.S

Hence Verified