Question

In the figure given below, find the value of x.​

Answer 1

Answer:

angle bca = 180°-105° = 75°

angle eac = 180° - 75° = 105°

therefore, angle cab = 180°- 105°= 75°

now , sum of a triangle = 180°

therefore, angle x = 180° -(75°+75°)

= 30°

Answer 2

Answer:

Value of X is 30°

Explanation:

Given :-

∠FAE = 75°

Find :-

∠EAC = 75° [Vertically opposite angles are equal]

Given :-

∠ACD = 105°

Find :-

∠ACB = ?

Now , solving for ∠ACB,

∠ACD + ∠ACB = 180° [The measure of the angle in the straight line is 180°]

105° + ∠ACB = 180°[Given]

∠ACB = 180°-105°

∠ACB = 75°

Now carefully observe the figure can you see a triangle if we remove some angles and lines ?

So, if you can see we need to know one thing that is, sum of 3 sides of a triangle is 180°.

So, Finding X

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

75°+75°+X = 180°

150° + X = 180°

X = 180°-150°

X=30°