We have to find the value of x inside a traingle. The answer is C. I need explaination for this. I have attached the question
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- Question Attached
Let PQS = a
PUS=b
RQS=RSQ=y...by statement 1(Triangle RQS is Isosceles triangle)
TSU=TUS=z...by statement 2(Triangle TSU is Isosceles triangle)
90+a+b+x= 360
a+b+x = 270 .........(1)
y+a= 180
y = 180-a...........(2)
b+z=180
z = 180-b...........(3)
y+x+z = 180
substituting y and z using eqns (2) and (3)
180-a+x+180-b=180
-a-b+x=-180..........(4)
Adding (1) and (4)
2x= 90
x=45
C is answer.
