Question

Pls solve this for me

Answer 1

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.

• Let the angle be u

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