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Answer:
The length of AE is 20 units.
Step-by-step explanation:
Given two segments AD and BC intersect at point E to form two triangles ABE and DCE. Side AB is parallel to side DC. A E is labeled 2x+10. ED is labeled x+3. AB is 10 units long and DC is 4 units long.
we have to find the length of AE
AB||CD ⇒ ∠EAB=∠EDC and ∠EBA=∠ECD
In ΔABE and ΔDCE
∠EAB=∠EDC (∵Alternate angles)
∠EBA=∠ECD (∵Alternate angles)
By AA similarity, ΔABE ≈ ΔDCE
therefore,
⇒
⇒
⇒
Hence, AE=2x+10=2(5)+10=20 units
The length of AE is 20 units.
1. Both are corresponding angles, hence they both are equal, so,
Ans. C) 2
2. They both are in interior corressponding, hence their sum is equal to 180°, so,
Ans. D) 7
3. They both are in interior corressponding, hence their sum is equal to 180°, so,
Ans. A) -10
4. Both are corresponding angles, hence they both are equal, so,
Ans. A) 6
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