find the value of x?
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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
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