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8th grade (just a few questions?

Can someone please help me with these 3 multiple choice 8th grade math questions, ten points for best answer?

  • I am terribly confused on these two questions. I just don't understand them. I retake the test each time and always get these wrong, can someone please help me? Btw, theres a tinypic link included because there's a picture that goes along with the question. In triangle XYZ, angle X and angle Y each measure 25 degrees. What is the measure of angle Z? A) 125 degrees B) 25 degrees C) 130 degrees D) 155 degrees What is x? http://tinypic.com/r/2144axj/5 A) 36 degrees B) 92 degrees C) 46 degrees D) 72 degrees What is x? http://tinypic.com/r/1zo9rw8/5 A) 33 degrees B) 43 degrees C) 63 degrees D) 53 degrees thank you so much!!!!!! :-)

  • Answer:

    1. Remember a triangle's angles add up to 180 degrees so all you have to do for the first one is subtract 50 (25+25) from 180 to get 130 degrees for z. 2. Subtract 108 from 180. Remember a triangle's angles add up to 180 degrees. You get 72 degrees for x. But there is two of them so divide 72 in half to get 36 degrees. 3. For this one you have to use what they give you. Add 66 and 51 degrees together to get 117. Now subtract 117 from 180 to get 63 degrees. Keep in mind that that is for the first triangle on the left that they give you the degrees. Just imagine you flip the triangle over and that is the point so the angle x is just the same as the missing angle in the left triangle 63 degrees. answers in order C A C. for 1 2 3 hope this helped and your welcome.

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I'm a firm believer in "guiding" a person to the right answer, instead of flat out telling them, so here goes: 1) The angles of all triangles add up to be 180°. So, the sum of angles X, Y, and Z will equal 180°. To find an unknown angle, subtract the known measures from 180. 2) Both angles are congruent, or the same, because they are both denoted by X. Since all triangles have a sum of 180°, subtract the known value from 180, and then divide by 2 since there are two equal angles of X. 3) I'm assuming these triangles are equivalent? If so, just subtract the known values from 180. Good luck :)

1. Remember a triangle's angles add up to 180 degrees so all you have to do for the first one is subtract 50 (25+25) from 180 to get 130 degrees for z. 2. Subtract 108 from 180. Remember a triangle's angles add up to 180 degrees. You get 72 degrees for x. But there is two of them so divide 72 in half to get 36 degrees. 3. For this one you have to use what they give you. Add 66 and 51 degrees together to get 117. Now subtract 117 from 180 to get 63 degrees. Keep in mind that that is for the first triangle on the left that they give you the degrees. Just imagine you flip the triangle over and that is the point so the angle x is just the same as the missing angle in the left triangle 63 degrees. answers in order C A C. for 1 2 3 hope this helped and your welcome.

I'm a firm believer in "guiding" a person to the right answer, instead of flat out telling them, so here goes: 1) The angles of all triangles add up to be 180°. So, the sum of angles X, Y, and Z will equal 180°. To find an unknown angle, subtract the known measures from 180. 2) Both angles are congruent, or the same, because they are both denoted by X. Since all triangles have a sum of 180°, subtract the known value from 180, and then divide by 2 since there are two equal angles of X. 3) I'm assuming these triangles are equivalent? If so, just subtract the known values from 180. Good luck :)

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