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.