Question

PLEASE HELP AND ILL GIVE BRAINLIEST
GEOMETRY​

Answer 1

Answer:

$m\widehat {WV} = 50\degree$

Step-by-step explanation:

Let O be the center of the circle.

$m\angle VOU =m\angle TOU... (given)$

$\therefore m\angle VOU =(5x + 10)\degree$

$[\because m\angle TOU = (5x +10)\degree]$

$m\widehat {TUV} = (5x +10)\degree + (5x +10)\degree$

$m\widehat {TUV} = (10x +20)\degree$

$m\widehat {SW} =m\widehat {TUV}$

$(12x-2)\degree = (10x +20)\degree$

$12x-2 = 10x +20$

$12x-10x = 2 +20$

$2x = 22$

$x = \frac{22}{2}$

$x = 11$

$m\widehat {WV} = 180\degree - m\widehat {TUV}$

$m\widehat {WV} = 180\degree - (10x +20)\degree$

$m\widehat {WV} = 180\degree - (10\times 11+20)\degree$

$m\widehat {WV} = 180\degree - 130\degree$

$m\widehat {WV} = 50\degree$