Question

What is the value of x in the following figure?52 degrees142 degrees128 degrees38 degrees

Answer 1

The diagram below is given

From the diagram

By the properties of right angle triangle

`m\angle a=90^(\circ)`

By the rule of the sum of angles on a straight line

It implies that

`x+a+52=180`

Substitute a = 90 and solve for x

`\begin{gathered} x+90+52=180 \\ x+142=180 \\ x=180-142 \\ x=38^(\circ) \end{gathered}`

Therefore, the value of x is 38 degrees