Question

please help will mark brainliest

Answer 1

Answer : x= 58

To find angle x , we apply outside angle theorem

Lets name each point

Measurement of arc EF=114 degrees

Measurement of arc GH = x

Angle D = 28 degrees

Theorem says

$angle D = \frac{arc(EF)-arc(GH)}{2}$

Now we plug in the values

$28 = \frac{114-x}{2}$

multiply by 2 on both sides

28*2 = 114 -x (subtract 114 on both sides)

56 - 114 = -x

-58 = -x

So x= 58