We have been given that circle N shows tangents ML and MJ intersecting to form LMJ and measure of angle M is 45 degrees. We are asked to find measure of minor arc length.
Since we know that measure of tangent-tangent angle and measure of minor arc are supplementary.
Let us find measure of our minor arc JL which measures x degrees.
[tex]\angle LMJ+x^{o}=180^{o}[/tex]
[tex]45^{o}+x^{o}=180^{o}[/tex]
[tex]x^{o}=180^{o}-45^{o}[/tex]
[tex]x^{o}=135^{o}[/tex]
We can see that measure of minor arc is 135 degrees, therefore, option B is the correct choice.
