The value of x from the diagram given is calculated to be 34
How to calculate the value of x?
First, we shall calculate remaining two angles in triangle ABD. This is shown below:
Note: The remaining two angles are equal since the triangle is isosceles
- Let the remaining angle be g
44 + g + g = 180
44 + 2g = 180
Collect like terms
2g = 180 - 44
2g = 136
g = 136 / 2
g = 68
Now, g and the top angle in triangle BCD are on straight line.
g + u = 180
68 + u = 180
u = 180 - 68
u = 112
Now, we shall obtain the value of x. Details below:
u + x + x = 180
112 + 2x = 180
2x = 180 - 112
2x = 68
x = 68 / 2
x = 34