Answer:
x=65
Step-by-step explanation:
triangle with angle a is isosceles triangle
this means that the other 2 angles within the triangle on the left (triangle with angle a) are the same.
so if a=44
the other two angles would equal
[tex]\frac{180-44}{2}[/tex] = 68
the angle on the right of angle a, is opposite angles with the left corner of the traingle with angle x.
rule: opposite angles are equal
thus, that angle is also equal to 68
for the triangle with angle b, it is also an isosceles
if B = 47
then the other angle is also 47, we can ignore the tip of the triangle because we do not need it to find x.
since b is opposite angles with the right corner of triangle with angle x then
that angle also equals 47
now we know two angles of the triangle with angle x
thus to find x
180-47-68 = 65