Question

the sum of two angles of a triangle is 116 and their difference is 24.find the measure of each angle of the triangle

Answer 1

angle +angleB=116__________ equation 1

angleA +angleB +angleC=180

angleC=180-116

angleC=64 degrees

angleA -angleB=24__________ equation 2

Adding equation 1 and equation 2

angleA +angleB + angleA -angleB=116+24

2 times angleA=140

angleA=70 degrees

angleA +angleB=116

70 + angleB=116

angleB=116-70

angleB=36 degrees