x= 110
Solution :
Triangle :
A triangle is a 3-sided polygon sometimes (but not very commonly) called the trigon. Every triangle has three sides and three angles, some of which may be the same. The sides of a triangle are given special names in the case of a right triangle, with the side opposite the right angle being termed the hypotenuse and the other two sides being known as the legs. All triangles are convex and bicentric. That portion of the plane enclosed by the triangle is called the triangle interior, while the remainder is the exterior.
A triangle is said to be acute if all three of its angles are all acute, a triangle having an obtuse angle is called an obtuse triangle, and a triangle with a right angle is called right. A triangle with all sides equal is called equilateral, a triangle with two sides equal is called isosceles, and a triangle with all sides a different length is called scalene. A triangle can be simultaneously right and isosceles, in which case it is known as an isosceles right triangle.
Angle A = 83
Angle b = 33
Angle c = 180 - Angle a -Angle b
= 180-83-33
= 180-116
= 64
Now
Angle d = 46
Angle c = 64
Angle e = 180 -Angle d-Angle c
= 180-46-64
=70
if the two rays given in the figure are parallel then,
x = 180- 70
x= 110
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