Question

What is the value of x? xo 360 x = [?]°

Answer 1

The value of x can be obained as follows:

Step 1: We re-draw the shape to include a new information ( that the angle between a tangent and a chord of a circle is 90 degrees). This is shown below as:

Step 2: Now, we recall that the sum of angles in any triangle is 180 degrees.

Applying this theorem gives:

`\begin{gathered} x+90+36=180 \\ x+126=180 \\ x=180-126 \\ x=\text{54}^0 \end{gathered}`

Therefore, the value of x is 54 degrees