Question

Find angle 1. | I was having trouble with this one.

Answer 1

From th arc-angle relationships, we know that a vertex angle inside a circle is half the sum of the measures of its intercepted arcs, that is,

`m\angle1=(50+56)/(2)`

which gives

`\begin{gathered} m\angle1=(106)/(2) \\ m\angle1=53 \end{gathered}`

Therefore, the answer is 53 degrees.