Question

in a triangle the second angle is one third of the third angle and the third angle is one and a half times the first angle what is the​ value of second angle

Answer 1

Step-by-step explanation:

Given in a triangle the second angle is one third of the third angle and the third angle is one and a half times the first angle what is the​ value of second angle

• In a triangle angle A + angle B + angle C = 180 degree
• According to question we get
• B = 1/3 C
• C = 1 1/2 A
• Now B = 1/3 x 3/2 A
• So B = A/2
• In a triangle angle A + angle B + angle C = 180 degree
• So we get A + A/2 + 3/2A = 180
• 2A + A + 3A / 2 = 180
• Or 6A = 360
• Or A = 60
• Therefore 60 + B + C = 180
• Or B + C = 120
• B = 1/3 C
• = 1/3 x 3/2 A
• B = 1/2 x 60
• Or B = 30
• Now B + C = 120
• C = 120 – 30
• Or C = 90

Therefore angle B = 30 degree