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Please help me it a test grade and it's do today

Please help me it a test grade and it's do today-example-1

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6 votes

Answer:


x = 16

Explanation:

Because of the fact, the angle is ∠BCA = 10x - 10 and ∠ABC = 30 lies on a straight line and ∠BCA is obtuse while ∠ABC is acute, we can just set them equal to 180 to find the value of x.

So we will set up the equation:
10x - 10 + 30 = 180

1. Combine Like Terms (eg. -10 and 30)

10x - 10 + 30 = 180
=
10 x + 20 = 180

2. Subtract 20 on both sides

10x + 20 = 180

-20 -20

=
10x = 160
3. Divide 10 into both sides

(10x)/(10) = (160)/(10)

And we will get:

x = 16

Check Your Work!
Now if we replace x in the equation for 16 like below we do in fact get 180:

10(16) - 10 + 30 = 180

160 - 10 + 30 = 180


150 + 30 = 180


180 = 180

So in short, x = 16

User Bkardol
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