Question

Find angle 1 | I've been having trouble with this for a while.

Answer 1

Given:

Measure of arc LV = 56 degrees

Measure of arc JR = 146 degrees

Let's find the measure of angle 1.

To find the measure of angle 1, apply the angle arc relationship.

Let's first find the measure of arc JL and VR.

Measure of arc JL and VR = 360 - 56 - 146 = 158 degrees.

Hence, to solve for angle 1, we have:

`m\angle1=(arcJL+arcVR)/(2)`

Where:

arcJL + arcVR = 158 degrees.

Thus, we have:

`\begin{gathered} m\angle1=(158)/(2) \\ \\ m\angle1=79^o \end{gathered}`

Therefore, the measure of angle 1 is 79 degrees.

ANSWER:

79°