Measure of arc MLK is 270°
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:
[tex]Inscribed\text{ angle = }\frac{1}{2}\text{ m of arc MLK}[/tex]
Measure of arc MLK:
[tex]\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}[/tex]
