A triangle has angle measures that are related as follows: -the largest angle is eight times the smallest angle -the middle angle is triple the smallest angle find the measurements of the angles.
Accepted Solution
A:
Answer:The angles are 15 degrees, 45 degrees and 120 degreesStep-by-step explanation:The triangle has three three sides and three angles. The sum of the angles in a triangle is 180 degreesLet x = the size of the largest angle of the triangleLet y = the size of the middle angle of the triangleLet z = the size of the smallest angle of the triangle.x + y + z = 180 - - - - -- - - - - - - 1The size of the largest angle is eight times the size of the smallest angle.This means x = 8zThe size of the middle angle is triple the size of the smallest angle. This meansy = 3zPut x = 8z and y = 3z in equation 18z + 3z + z= 18012z = 180z = 180/12 = 15x = 8z = 8×15 = 120y = 3z = 3 × 15 = 45