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4 years ago

Help please!!! Thank you

Mathematics

1 answer:

Anna11 [10]4 years ago

6 0

Answer: ∠ABE=20°

Step-by-step explanation:

∵ AB=BC

∴ ΔABC is a isosceles triangle

∵ ∠A=30

∴ ∠C=30

∵ The interior angle sum of triangle is 180°

∵ ∠A+∠B+∠C=180

30+∠B+30=180

∠B+60=180

∠B=120 (∠ABC)

∵ ∠EBD+∠ABE+∠ABC=linear pair

∴∠EBD+∠ABE+∠ABC=180°

4x+2x+120=180

6x+120=180

6x=60

x=10

∠ABE=2x=2(10)=20°

Hope this helps!! :)

Please let me know if you have any question

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