Question 1174841: If the measurement of angle A is = 2x + 5
Measurement of angle B is = 3x - 10
And the measurement of angle D = 2x + 15
What is:
1. x = ?
2. Measurement of angle A?
3. Measurement of angle B?
4. Measurement of angle C?
5. Measurement of angle D?
Thank you!
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! you are given the measurements of angle A, B, D.
angle C is not mentioned.
just because C comes after B and before D in the alphabet does not mean that there is an angle C between angles B and D in your polygon.
since you are already given the measurements of angle A and B and D in terms of x, then you do not need to solve for their measurements in terms of x because you already have them.
it appears that they want you to solve for x.
since there are only 3 angles mentioned, and you are given no reason to believe that there even is an angle C, then you can assume that the polygon has a high probability of being a triangle.
since the sum of the angles of a triangle = 180 degrees, then you can solve for x in the following manner.
the sum of the angle in a triangle is equal to 180 degrees.
therefore, A + B + C = 180.
since A = 2x + 5 and B = 3x - 10 and C = 2x + 15, then you can substitute for A, B, and C to get:
2x + 5 + 3x - 10 + 2x + 15 = 180
combine like terms to get:
7x + 10 = 180
subtract 10 from both sides of the equation to get:
7x = 170
solve for x to get:
x = 170/7
when x = 170/7:
2x + 5 = 340/7 + 5
3x - 10 = 510/7 - 5
2x + 15 = 340/7 + 10
combine like terms to get:
1190/7 + 10 = 170 + 10 = 180.
the sum of the angles is 180, so the value of x must be good.
the value of x is 170/7 degrees.
this is all well and good, but you didn't need to solve for x.
you were only asked to state what you needed to solve for.
it appears that you needed to solve for x.
that would be selection 1.
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