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°
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75x+2=
75x-2=-2. move the 2 to the other side
75x=-2 now divide 75 both sides
75/75x=-2/75
x=-2/75
Answer:
Step-by-step explanation:
Straight angle is equal to 180°
Angle x, 60° and 80° form a straight angle.
<u>Then we have following equation to solve for x:</u>
- x + 60° + 80° = 180°
- x + 140° = 180°
- x = 180° - 140°
- x = 40°
Answer:
y=2(x−4)²+3
Step-by-step explanation: