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Volgvan
3 years ago
9

Two angles are supplementary (add up to 180 degrees). The measure of one angle is ten more than the other. Find the measure of e

ach angle.
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
7 0

Answer:

85° and 95°

Step-by-step explanation:

So, one angle is x, the other angle is x + 10. Using this, you can form an equation.

x + x + 10 = 180

Now, solve the equation.

2x + 10 = 180

2x = 170

x = 85

So, one angle is 85 while the other angle is 95.

85 + 95 = 180,

so we know that our answer is correct.

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You are asked to do this problem by graphing, which would be hard to do over the Internet unless you can do your drawing on paper and share the resulting image by uploading it to Brainly.

If this were homework or a test, you'd get full credit only if you follow the directions given.

If <span>The points(0,2) and (4,-10) lie on the same line, their slope is m = (2+10)/(-4), or   m =-3.  Thus, the equation of this line is y-2 = -3x, or y = -3x + 2.

If </span><span>points (-5,-3) and (2,11) lie on another line, the slope of this line is:

m = 14/7 = 2.  Thus, the equation of the line is y-11 = 2(x-2), or y = 11+2x -4, or y = 2x + 7.

Where do the 2 lines intersect?  Set the 2 equations equal to one another and solve for x:

</span>y = -3x + 2 = y = 2x + 7.  Then 5x = 5, and x=1.

Subst. 1 for x in y = 2x + 7, we get y = 2(1) + 7 = 9.

That results in the point of intersection (2,9).

Doing this problem by graphing, on a calculator, produces a different result:  (-1,5), which matches D.

I'd suggest you find and graph both lines yourself to verify this.  If you want, see whether you can find the mistake in my calculations.

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