Answer: X= 50
Explanation:
To be able to solve this, you must identify vertical angles, as well as a linear pair.
The angle next to the angle of 103 is in a linear pair. This means they both add up to 180.
180- 103 = 77. The angle that is next to the angle of 103 is 77.
You have two angles in a triangle. You can use the triangle sum theorem, which states that all angles of a triangle add up to 180.
180- (53+ 77)= the third angle
180- 130 = 50 (the third angle)
The third angle of the triangle is a vertical angle in relation to x. All vertical angles are equal. This means that x= 50°.