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Topic: **Geometry-homework****Question:**
The supplement of an angle is 36 degrees less than twice the supplement of the complement of the angle. Find the measure of the supplement.
Will you please explain how to set up the equation and solve.
I don't understand and it is due first period tomorrow!!!
Please just answer!!! I can't learn if I don't understand how to do the problem!!!
And I tried plugging 72 back in and i dont think it worked.

May 19, 2019 / By Apollyon

180 - x = 36 - 2 ( 90 - x) 180 - x = 36 - 180 + 2x - 3x = 36 - 360 x = -12 + 120 x = 108 suppliment of that angle is 180 - 108 = 72

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Normally I wouldn't help you. There are a lot of questions here, and they are pretty basic ones that you should be able to get from a text, but I'm feeling charitable today. 1 The key here is to recognize the angle sum of a triangle is always 180. So add up all of the expressions, set it equal to 180, and solve for x. Then you need to sub x back in to the expressions to get the actual angle measures. 5x-21 + 3x+9 + 4x+12 = 12x {The constants add to 0} So 12x = 180 --> x = 15 Now sub 15 back into the expressions for angles m<1 = 5x - 21 = 5[15] - 21 = 75 - 21 = 54 degrees m<2 = 3x + 9 = 3[15] + 9 = 45 + 9 = 54 degrees m<3 = 4x + 12 = 4[15] + 12 = 60 + 12 = 72 degrees. So we have a triangle with 2 congruent angles. Then the sides opposite those conguent angles must also be congruent. Giving an isosceles triangle. 2 Supplementary angles add to 180 degrees So m<1 + m<2 = 180 The bisectors will give angle measures of exactly half of each angle. 1/2 m<1 + 1/2 m<2 must be the measure. We know m<1 + m<2 = 180 If we multiply both sides by 1/2, we get 1/2 m<1 + 1/2 m<2 = 90 So 90 is the measure of the angle created by the bisectors. 3 Vertical angles are congruent, so they have the same measure. Complementary angles add to 90 So each angle must be 90/2 or 45 degrees. 4 Contrapositive changes order and truth value The contrapositive of a --> b is ~b --> ~a So here, the contrapositive of p --> ~q is ~(~q) --> ~p which is equivalent to q --> ~p

I can only answer Q1. Question 1 All the angles in a triangle add up to 180 degrees, so 5x - 21 + 3x +9 + 4x +12 = 180 degrees By grouping like terms, you get 12x = 180 degrees Divide both sides by 12 to get 12x/12 = 180/12 x = 15 By subbing in the value of x into the original expressions, you get: 5x - 21 = 5(15) -21 = 54 degrees 3x + 9 = 3(15) + 9 = 54 degrees 4x + 12 = 4(15) + 12 = 72 degrees Two of the angles are same, therefore the triangle is an isocoles triangle.

well obviously, its 108 it's hard to explain how to do it, but you draw out the angles and figure out the measures of all of them

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i know this but i think you should figure it out on your own how do you expect to learn with people telling you the answer

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3 is false. Equilateral and regular both refer to the length of the sides. This makes the angles similiar as well. All circles are similiar because all the "sides" and "angles" are the same naturally. The definition of a right triangle is a triangle that has a 90 degree angle. There is no reference to the length of the sides. Right triangles can vary dramatically based on the length of the sides.

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