194,298 views
30 votes
30 votes
PLSSS HELPP ME ASAPP!!!!

PLSSS HELPP ME ASAPP!!!!-example-1
User Ajay Kharade
by
2.7k points

1 Answer

19 votes
19 votes

Answer:

<HLI = 123

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

User Alex Vovchuk
by
3.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.