Question

plz give the solution​

Answer 1

Answer :-

• The value of x is 45.

Step-by-step explanation :

To Find :-

• The value of x

Solution :-

Given that,

• ∠EBA = 105°
• ∠DCA = 120°

First we need to find out the interior angles of the triangle,

• ∠ABC

=> ∠EBA + ∠ABC = 180° [ linear pair ]

=> ∠ABC = 180° - ∠EBA

=> ∠ABC = 180 - 105

=> ∠ABC = 75

Hence, ∠ABC = 75°

• ∠ACB

=> ∠DCA + ∠ACB = 180° [ linear pair ]

=> ∠ACB = 180 - ∠DCA

=> ∠ACB = 180 - 120

=> ∠ACB = 60

Hence, ∠ACB = 60°

Now, by the angle sum property of triangle, we can easily find out the value of x,

As we know that,

Sum of all interior angles of ∆ = 180°,

• ∠ABC + ∠ACB + x = 180°

=> ∠ABC + ∠ACB + x = 180

=> 75 + 60 + x = 180

=> 135 + x = 180

=> x = 180 - 135

=> x = 45

Hence,

• The value of x is 45.