Question

Inscribed angles, I’m being asked for a, and b but I don’t understand this question

Answer 1

Given the figure of a circle.

There are 3 arcs with the following measures: a, 100, and 136

the sum of the measures of the arcs = 360

So, we can write the following equation:

`a+100+136=360`

Solve the equation to find (a):

`\begin{gathered} a+236=360 \\ a=360-236=124 \end{gathered}`

The angle (b) is the Inscribed angle opposite the arc (a)

`b=(1)/(2)a=(1)/(2)*124=62`

So, the answer will be:

`\begin{gathered} a=124 \\ b=62 \end{gathered}`