Using angle relationships with parallel lines and transversals, we find m<5 = 115 degrees, m<11 = 105 degrees, and m<16 = 105 degrees based on given angle measures.
The problem involves parallel lines cut by transversals, and the use of angle relationships to find unknown angles.
Given that m<1 is 115 degrees and m<8 is 105 degrees, we can determine the measures of m<5, m<11, and m<16.
To find the measure of m<5 we can use the fact that it is the alternate interior angle to m<1, therefore m<5 is also 115 degrees.
For m<11, it is the corresponding angle to m<8, and thus, it is also 105 degrees. Lastly, m<16 is the vertical angle to m<8 and vertical angles are equal, so m<16 is 105 degrees.
Therefore, the measures of the angles are as follows:
m<5 = 115 degrees
m<11 = 105 degrees
m<16 = 105 degrees