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X+87°+2x degrees i need to solve for angle 2x

X+87°+2x degrees i need to solve for angle 2x-example-1

2 Answers

2 votes
x = 31

since the two angles added together would make 180°, the equation should look like this:
x + 87 + 2x = 180

Combine like terms (aka just add the two variables together)
x is equivalent to one, so 1x + 2x = 3x.
3x + 87 = 180

Subtract by 87 on both sides.
3x + 87 - 87 = 180 - 87

87-87=0, 180- 87 = 93, so this leaves the equation like this
3x = 93

Now divide by 3 on both sides.
3x / 3 = 93 / 3

3/3 = 1x, which can just be written as x, and 93/3 = 31
x = 31

You can check if this is correct by replacing x with 31, then adding the two angles together to see if they equal 180°.
31 + 87 = 118
2 * 31 = 62
118 + 62 = 180°
User Vikas Gupta
by
3.7k points
4 votes

Answer:

62

Explanation:

x + 87 and 2x are linear pair angles.

Sum of linear pair angles is 180,

x + 87 + 2x = 180

x + 2x + 87 = 180

3x + 87 = 180

3x = 180 - 87

3x = 93

x = 93 / 3

x = 31

2x

= 2 * 31

= 62

User MTVS
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3.9k points