Question

Help I will be marking brainliest!!!

Answer 1

Answer:

A. $82\degree$

Step-by-step explanation:

By the theorem of intersecting chords inside a circle.

$m\angle OVU=\frac{1}{2} (m\widehat {GK} +m \widehat {OU})$

$m\angle OVU = \frac{1}{2} (142\degree + 54\degree)$

$m\angle OVU=\frac{1}{2} \times 196\degree$

$m\angle OVU = 98\degree$

$m\angle OVU + m\angle OVU = 180\degree$

(Linear pair angles)

$m\angle OVG + 98\degree = 180\degree$

$m\angle OVG =180\degree - 98\degree$

$m\angle OVG = 82\degree$