Question

In the diagram below, if m arc GF=50, then find the m arc BD. How do I do the equation?

Answer 1

130

Explanation:

First, we know that BG is the diameter. So using that information, The right side and left side both measure 180 degrees in total.

Chrod DF and Diameter BG is a perpendicular bisector so that line segment DE equal Line segment EF.

Since DR equal EF, Arc DG and DF equal each other so that means DG measure 50 as well.

Arc BG measures 180 degrees we know 50 degrees part of that arc. We can use this equation

`50 + x = 180`

`x = 130`

BD measures 130.