8th grade (just a few questions?

Can someone please help me with 3 multiple choice math questions? 8th grade, 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:

  In triangle XYZ, angle X and angle Y each measure 25 degrees. What is the measure of angle Z? Angles in a triangle add up to 180 degrees. So, X + Y + Z = 180 25 + 25 + Z = 180 Z = 180 - 25 -25 Z = 130 C) 130 degrees -------- What is x? Same idea, with the angles adding up to 180. 108 + 2x = 180 2x = 72 . . . . . . . . . [ subtracted 108 from both sides ] x = 36 . . . . . . . . . . [ divided both sides by 2 ] A) 36 degrees ----------- What is x? http://tinypic.com/r/1zo9rw8/5 Well, the picture seems a little distorted, but I'm sure those are all meant to be straight lines. The angle x you want to find is the same angle as the angle just next to it in the opposite triangle. [They are called 'opposite angles'.] http://www.icoachmath.com/math_dictionary/Opposite_Angles.html 51 + 66 + x = 180 x = 180 - 51 - 66 x = 63 C) 63 degrees