Question

Geometry question, please help!!

Answer 1

@Shadow

Answer 2

Do you know the formula for inscribed angles?

Answer 3

no

Answer 4

Okay

Answer 5

\[Angle = \frac{ 1 }{ 2 }Arc\]

My bad this is the formula

B is an inscribed angle, lets solve for its arc

\[116 = \frac{ 1 }{ 2 }ADC\]

\[232 = ADC\]

Arc ADC = 232

Answer 6

A circle is made up of 360 degrees

360 - 232 = 128

That means arc ABC = 128 degrees

\[Angle = \frac{ 1 }{ 2 } Arc\]

\[x = \frac{ 1 }{ 2 }128\]

\[x = 64\]

Answer 7

Angle A, the angle we are trying to solve for, is equal to 2x - 40.

\[A = 2x - 40\]
\[A = 2(64) - 40\]
\[A = 128 - 40\]
\[A = 88 \]

Answer 8

Thanks so much :)

Answer 9

No problem