Question

Plz help show work pleaseeee

Answer 1

`m\angle Y =120 \degree`

`m\angle Z =120 \degree`

Explanation:

In quadrilateral TVZY.

TY = VZ (Given)

Therefore,

Quadrilateral TVZY is an isosceles trapezoid.

TV || YZ and VZ is transversal.

`m\angle Z = 180 \degree - 60 \degree \\ (interior \: angles \: on \: same \: side \: \\ of \: transversal) \\ m\angle Z = 120 \degree \\ \\ m\angle Y = m\angle Z \: \\ (base \: angles \: of \: isosceles \: \\ trapezoid) \\ \implies \: m\angle Y =120 \degree`