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35 votes
35 votes
Angle 2 = 3x - 10 and Angle 3 = x + 30 x = [?]

User Steven Mills
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1 Answer

16 votes
16 votes

Answer

x = 20°

Step-by-step explanation

Using the concept of alternating angles, we will see that when the two lines A and B are parallel to each other,

Angle 2 = Angle 3

Angle 2 = (3x - 10)°

Angle 3 = (x + 30)°

Angle 2 = Angle 3

3x - 10° = x + 30°

3x - x = 30° + 10°

2x = 40°

Divide both sides by 2

(2x/2) = (40°/2)

x = 20°

Hope this Helps!!!

User SunshinyDoyle
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2.7k points