Question

Fine angle W……….Inscribed angles….correct answer will get brainliest

Answer 1

Answer:

40°

Step-by-step explanation:

$\angle UTV$ and $\angle UWV$ are inscribed in the same $\widehat {UTV}$

Angles inscribed in the same arc are equal in measure.

$\implies m\angle UWV =m\angle UTV$

$\implies 19x +21\degree =10x +30\degree$

$\implies 19x -10x =30\degree-21\degree$

$\implies 9x =9\degree$

$\implies x =\frac{9\degree}{9}$

$\implies x = 1\degree$

$\implies 19x +21\degree= 19(1\degree) +21\degree$

$\implies 19x +21\degree= 19\degree +21\degree$

$\implies 19x +21\degree= 40\degree$

$\implies \huge\orange{\boxed{\boxed{m\angle W= 40\degree}}}$