i know theres another thread about math but im worry that you wont see my problem :-[ ok heres the story i wanna learn geometry but my teacher is not kinda good in teaching stuffs and too make matters worst he(yes he's a guy mates!) always gives out assignments before discussing them to us. if you have a kind heart please answer these queries and kinda discuss how'd you got them.. LEGEND L=angle,m=measurement ok here it goes Use the figure above to find the measures of the indicated angles 1.mLR=40,mLQ=60 mL1=? mL2=? 2.mL2=50,mLQ=70 mL1=? mLR? 3.mLR=75, mLQ=35 mL1=? mL2=? 4.mL1=133,mLQ=48 mLR? mL2=? well thats all hope you like a little brain teaser admins and mods pls dont pwn me if i made a flaw in this forum thx ;D
The angle sum of a triangle is 180 degrees, which means that the three angles inside the triangle (ie mLR, mLQ and mLP) add up to 180. A straight line (ie QP->) is also 180 degrees, which mean that 2 and 1 add to 180. With those two rules in mind, this should be easy stuff.
1. mR + mQ = 100 180 = 100 + x x = 180 - 100 x = 80 x is 2, 180 - x = (1) 1 = 100, 2 = 80 mQPR = 180, the angles of a triangle total up to 180 if you're missing one angle, subtract the total of the 2 given angles from 180 to find the missing angle ya get it?
http://en.wikipedia.org/wiki/Exterior_angle_theorem "The exterior angle theorem is a theorem in elementary geometry which states that the exterior angle of a triangle (d) is equal to the sum of the two remote interior angles (a and c)." Therefore, mLR + mLQ = mL1. 180 - mL1 = mL2.
