The given parameters are illustrations of angles on a straight line. The measure of [tex]\angle LHK[/tex] is [tex]101^o[/tex]
Given that:
[tex]\angle GHL = 79^o[/tex]
Using the angle on a straight line theorem, we have:
[tex]\angle GHL + \angle LHK =180^o[/tex] ---- angle on a straight line is 180
Substitute [tex]\angle GHL = 79^o[/tex]
[tex]79^o + \angle LHK = 180^o[/tex]
Collect like terms
[tex]\angle LHK = 180^o - 79^o[/tex]
[tex]\angle LHK = 101^o[/tex]
Hence, the measure of [tex]\angle LHK[/tex] is [tex]101^o[/tex]
Read more about angle on a straight line at:
https://brainly.com/question/17104958
