Question

I need help on this question

Answer 1

Using the tangent relation,

`\begin{gathered} m\angle APB\text{ =}\frac{\text{ major arc - minor arc}}{2} \\ \text{Let the minor arc = x}^0 \\ \text{ Then, the major arc = 3x}^0 \end{gathered}`

The angles subtended by the major and minor arc sums up to 360 degrees.

`\begin{gathered} \text{ Therefore,} \\ 3x^{}+x^{}=4x \\ 4x\text{ = 360} \\ x=90^0 \end{gathered}`

That means, the angle subtended by the major arc

`=3\text{ }*90^0=270^0`

While the angle subtended by the minor arc is

`90^0`

Applying the tangent relation above

`m\angle APB\text{ = }(270-90)/(2)=(180)/(2)=90^0`

Therefore, t