Question

If angle T = x degrees and angle V = 3x + 60, then angle V = ___ degrees.

Answer 1

Given data:

The given circle.

The quadrilateral inside the circle is cyclic in nature, the expression for the cyclic quadrilateral is,

`\begin{gathered} \angle V+\angle T=19=180^(\circ) \\ 3x+60+x=180 \\ 4x=120 \\ x=30 \end{gathered}`

The value of angle V is,

`\begin{gathered} \angle V=3(30^(\circ))+60^(\circ) \\ =150^(\circ) \end{gathered}`

Thus, the value of angle V is 150 degrees.