Question

What is the value if x ?

Answer 1

Answer:

x=3

Step-by-step explanation:

We have to use the fact that all angles of a triangle add up to 180 and two supplementary angles add up to 180.

First,QRS forms a line, so angle QRT and angle TRS add up to 180 or, if we call angle TRS y for the sake of having it as a variable, 45x+y=180 or y=180-45x

Now we have all three angles of the triangle, and we know all three add up to 180, so startign with our newly found angle, (180-45x)+(25x)+(57+x)=180

180-45x+25x+57+x=180

237 - 19x = 180

57 = 19x

x=3

Let me know if you need any further explanation.