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Help please!!! Thank you

Help please!!! Thank you-example-1
User Araw
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1 Answer

4 votes

Answer: ∠ABE=20°

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

User Keymap
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