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Sagot :
Answer:
x = 20
Step-by-step explanation:
These angles are vertical angles.
Vertical angles are congruent!! So we set them equal to one another.
2 + 3x = 62
-2 -2
3x = 60
---- ---
3 3
x = 20
Answer: x = 20
Concept:
Vertical angles: Pairs of opposite angles made by intersecting lines.
Vertical Angle Theorem: If 2 angles are vertical, then they are congruent.
If you cannot understand this, please refer to the attachment below for a graphical explanation.
Solve:
Given information
Angle 1 = (2 + 3x)°
Angle 2 = 62°
Set equation
Angle 1 = Angle 2
2 + 3x = 62
Subtract 2 on both sides
2 + 3x - 2 = 62 - 2
3x = 60
Divide 3 on both sides
3x / 3 = 60 / 3
[tex]\boxed{x=20}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
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