Answer:
<HLI = 123
Step-by-step explanation:
Angles <KLG, <KLJ, and JLI are on a straight line and that so their sum is 180
KLJ is a right angle so its value is 90
90 + 5x - 7 + 10x + 7 = 180 add like terms
90 + 15x = 180 subtract 90 from both sides
15x = 90 divide both sides by 15
x = 6
angles <JLI and <HLI are also on a straight line and supplementary so their sum is also equal to 180
the measure of angle <JLI:
10*6 + 7 = 53 (we found x = 6 earlier)
53 + <HLI = 180 subtract 53 from both sides
<HLI = 123
