Question

find the value of x in the following question​

Answer 1

Step-by-step explanation:

angle B=70°

angle C=180-105=75° ( linear pair)

C=75°

A+B+C=180° (angle sum property of triangle )

A=180-70-75

A=180-145

A=35

X=180-35( linear pair)

X=145

so X=145°

Answer 2

In this triangle for finding x , first we have to find the value of ∠ACB because ∠ACB + ∠ABC = x

∠ACB + ∠ACD = 180° (Linear Pair)

∠ACB + 105° = 180°

∠ACB = 180° - 105°

∠ACB = 75°

Now , finding the value of x

An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.

x = 70° + 75°

x = 145°