In the figure, AB || CD and ∠EIJ ≅ ∠GJI.
Complete the following statements to prove that ∠IKL and ∠JLD are supplementary angles.
It is given that ∠EIJ ≅ ∠GJI.
Also, ∠EIJ ≅ ∠IKL and ∠GJI ≅ ∠JLK, as they are corresponding angles for parallel lines cut by a transversal.
By the definition of congruent angles, m∠EIJ = m∠GJI, m∠EIJ = m∠IKL, and m∠GJI = m∠JLK.
So, m∠IKL = m∠JLK by the
.
Angle JLK and ∠JLD are supplementary angles by the
, so m∠JLK + m∠JLD = 180°.
By the
, m∠IKL + m∠JLD = 180°.
Therefore, ∠IKL and ∠JLD are supplementary angles by definition.
Answers: 2
Geography, 21.06.2019 22:30
Based on their location in the atmosphere, the layers are able to have their own special characteristics. for example, most weather occurs in the troposphere. what occurs in each of the other layers?
Answers: 1
Geography, 22.06.2019 17:40
Which factors add to the greenhouse effect and are caused by human activities?
Answers: 1
Geography, 23.06.2019 18:00
Which ecosystem best fits the characteristics listed below? which ecosystem best fits the characteristics listed below? ii. seasonal migrations of millions of wildebeests, zebras, and elephants iii. large numbers of predators, such as lions iv. acacia trees and grasses a. the congo rainforest b. the african mangroves c. the serengeti grasslands d. the sahel
Answers: 1
Geography, 24.06.2019 04:00
If you were a casual recreational hiker with young children, which of the following trails would be least strenuous for a leisurely family outing? a. merced lake trail b. mirror lake loop trail. c. tenaya lake and tuolumne meadows trail d. el capitan trail
Answers: 1
In the figure, AB || CD and ∠EIJ ≅ ∠GJI.
Complete the following statements to prove that ∠IKL and...
Mathematics, 18.07.2019 22:30
Mathematics, 18.07.2019 22:30
Mathematics, 18.07.2019 22:30
Social Studies, 18.07.2019 22:30
Business, 18.07.2019 22:30
Mathematics, 18.07.2019 22:30
Mathematics, 18.07.2019 22:30
Mathematics, 18.07.2019 22:30