Question

Find the value of X by this

Answer 1

Answer:

Option b

Step-by-step explanation:

Solution :-

Given that

In ∆ ABC , AB divides <DAC in the ratio = 1:2

=> <DAB : < BAC = 1:2

Let <DAB = y°

Let <BAC = 2y°

and Given that

AB = DB

=> <ADB = < DAB

=> <ADB = y°

<CAE = <108°

We know that

The exterior angle is equal to the sum of the two opposite interior angles.

=> <ADB + <ACB = 108°

=> y° + x° = 108° ----------(1)

<CAE + <DAC = 180°

(linear pair)

=>108° + y°+2y° = 180°

=> 3y°+108° = 180°

=> 3y° = 180°-108°

=> 3y° = 72°

=> y° = 72°/3

=> y° = 24°

Now,

From (1)

=> 24°+x° = 108°

=> x° = 108°-24°

=> x° = 84°

Therefore, x= 84°

Answer:-

The value of x for the given problem is 84°

Used formulae:-

→ The exterior angle is equal to the sum of the two opposite interior angles.

→ The sum of two adjacent angles is 180° then they are called Linear Pair.

Answer 2

Step-by-step explanation:

hope it helps you to all the