Question

In the diagram, XY is a straight line.

What is the value of x?
X
Xº
20%
80
1.50⁰
Y

Answer 1

The value of x is equal to 170 degrees.

The angle joining 150 degrees will be equal to:

missing angle + 150 = 180 (linear pair)

missing angle = 30

Now, the third angle will be:
30 + 80 + third angle = 180 (sum of all angles in a triangle is 180 degrees)

third angle = 70 degrees

The angle joining 70 degrees will be 110, according to the linear pair theory. And, the third angle of this triangle will be 30 degrees as per the total sum of all angles in a triangle.

Similarly, the angle joining it will be equal to 150 degrees as per the linear pair theory and the third angle of this triangle will be 10 degrees.

We can now find the value of x as:

180 - 10 = x (linear pair)

x = 170 degrees