Since AB is a line segment and the angle y equals 47°, the value of the angle marked x is 133°.
In Mathematics and Geometry, a supplementary angle refers to two angles or arc whose sum is equal to 180 degrees.
Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. When the downward sloping line is extended to cut line AB, we can logically deduce the following supplementary angles;
y + x = 180 (Linear pair theorem)
47° + x = 180° (Linear pair theorem)
x = 180° - 47°
x = 133°.
Complete Question:
Given that AB is a line segment and the angle y = 47°, work out the value of the angle marked x.
The diagram is not drawn to scale.