Question

what are m∠u and m∠v?
t
70°
u
s
75°
v
m∠u =
°
m∠v =
°

Explanation:

Step1: Use the property of cyclic quadrilaterals

In a cyclic quadrilateral, the sum of opposite angles is \(180^{\circ}\).
For \(m\angle U\), since \(\angle S\) and \(\angle U\) are opposite angles in the cyclic quadrilateral \(STVU\), we have \(m\angle U = 180^{\circ}- 70^{\circ}\).

$$m\angle U=110^{\circ}$$

Step2: Use the property of cyclic quadrilaterals

For \(m\angle V\), since \(\angle T\) and \(\angle V\) are opposite angles in the cyclic quadrilateral \(STVU\), we have \(m\angle V = 180^{\circ}- 75^{\circ}\).

$$m\angle V = 105^{\circ}$$

Answer:

\(m\angle U = 110^{\circ}\), \(m\angle V=105^{\circ}\)