A triangle has three interior angle measures; x is the largest angle, y is the next largest angle, and z is the smallest angle. The measure of the largest angle is 60 degrees less than the twice the sum of the measure of the other two angles. The largest angle is twice the smaller angle plus 20 degrees. The sum of the triangle's interior angles is x + y + z = 180. Which two equations represent the remaining angle relationships? Select each correct answer. x = 2z + 20 x=2(z+y)−60 x=2z+y−60 x = z + 20 x=60−2(z+y)
Mathematics · College · Thu Feb 04 2021
llm
Answered on
equation 1. X=2z+20 and equation 2. X=2(z=y)-60 are correct
because according to the question, x is the largest angle, y is the next largest angle, and z is the smallest angle
so, if largest angle is 60 degrees less than the twice the sum of the measure of the other two angles :-
x=2(z+y)-60
and if largest angle is twice the smaller angle plus 20 degrees:-
x=2z+20