Question

Triangle TQRS Find the value of x.
O x = 2
O x = 3
O x= 33
O x= 52

Answer 1

x=3

Explanation:

To solve for x, we will follow the steps below:

First note that exterior angle =two opposite interior angle

From the diagram below

(25x) ° + (57 + x)° = (45x)°

25x° + 57° + x° = 45x°

next step is to collect the like term

45x° - 25 x° - x° = 57°

19x° = 57°

Divide both-side of the equation by 19

19x°/ 19 = 57° /19

On the left-hand side of the equation 19 will cancel out 19 leaving us with just x° while on the right-hand side of the equation 57 will be divided by 19

x = 3