Question

Find the value of x.


A) x = 2

B) x = 3

C) x = 33

D) x = 52

Answer 1

Answer:

B) x = 3

Step-by-step explanation:

The given triangle has three angles:

∠R, ∠S and ∠T

The exterior angle theorem says that

∠S+∠T = ∠R

Putting the values of angles

(57+x) + 25x = 45x

57 + x + 25x = 45x

57+26x = 45x

57 = 45x - 26x

57 = 19x

x = 57/19

x = 3

Hence, the correct answer is:

B) x = 3 ..