subject
Mathematics, 23.06.2021 17:00 diamond2738

Select the correct answer from each drop-down menu. In the figure, and ∠EIA ≅ ∠GJB. Complete the following statements to prove that ∠IKL ≅ ∠DLH.

∠EIA ≅ ∠IKC and ∠GJB ≅ ∠JLD because they are corresponding angles of parallel lines cut by a transversal.
So, if ∠EIA ≅ ∠GJB, then ∠IKC ≅ ∠JLD by the .
∠IKL and ∠IKC and ∠DLH and ∠JLD are pairs of supplementary angles by the .
m∠IKL + m∠IKC = 180° (1)
∠IKC ≅ ∠JLD, so m∠IKC = m∠JLD (2)
Applying the to equations (1) and (2), we get m∠IKL + m∠JLD = 180°.
Therefore, ∠IKL and ∠JLD are supplementary angles.
We've already shown that ∠DLH and ∠JLD are supplementary angles. Therefore, ∠IKL ≅ ∠DLH by the .

ansver
Answers: 1

Another question on Mathematics

question
Mathematics, 21.06.2019 15:30
The average hourly earnings for a construction worker is projected to be $24.50 in 2012. jason wants to join the construction work force after he graduates in 2012. his friend tells him that average hourly earnings for construction workers will rise by 2% from 2009 to 2012. based on the data below, assuming that the projected hourly earnings are correct, is jason’s friend’s statement accurate? construction industry - average hourly earnings, 2000-2009 a. his friend’s statement is accurate. the average hourly earnings will increase by 2%. b. his friend’s statement is not accurate. the percent increase will be more than 2% c. his friend’s statement is not accurate. the percent increase will be less than 2% d. his friend’s statement is not accurate. the average hourly earnings will decrease
Answers: 3
question
Mathematics, 21.06.2019 16:00
Sam makes his sales calls according to a pattern. he travels either north or south depending on the calendar. some of his past trips were as follows: on february 17, april 24, june 10, september 19, and november 3 he drove north. on february 28, may 25, august 22, november 20, and december 18, he drove south. describe sams' pattern. in which direction will sam drive on oct4 and oct 24?
Answers: 1
question
Mathematics, 21.06.2019 16:30
Hi my sisters and brothers can tell me the answer because i don’t understand the question
Answers: 1
question
Mathematics, 21.06.2019 20:00
Formulate alisha has a number in mind. if she adds three to her number the result is less than five. use this information to write and solve an inequality about alisha's number. then graph the solution set.
Answers: 1
You know the right answer?
Select the correct answer from each drop-down menu. In the figure, and ∠EIA ≅ ∠GJB. Complete the fo...
Questions
question
Computers and Technology, 24.06.2019 19:00
Questions on the website: 13722363