Question

Referring to the figure, find the measure of arc MLK

Answer 1

Measure of arc MLK is 270°

Step-by-step explanation:

Angle MKL = 135 degrees

We are looking for the measure of the arc MLK

The diagram shows an angle formed by a chord (MK) and tangent

The relationship between angle formed by a chord and tangent:

`Inscribed\text{ angle = }(1)/(2)\text{ m of arc MLK}`

Measure of arc MLK:

`\begin{gathered} \text{Measure of arc MLK = 2(inscribed angle)} \\ \\ In\text{scribed angle = 135}\degree\text{ } \\ \text{Measure of arc MLK = 2(135)} \\ \text{Measure of arc MLK = }270\degree \end{gathered}`