Math, asked by arshpreetkhalsa67, 10 months ago

one of the angles of a triangle is 60 degree. The difference between the other two angles is 20degree then the measure of smallest angle is​

Answers

Answered by knjroopa
14

Step-by-step explanation:

Given One of the angles of a triangle is 60 degree. The difference between the other two angles is 20 degree then the measure of smallest angle is

  • Let the three angles be A,B,C
  • Given A = 60 degree
  • So B – C = 20 degree
  • Or C = B – 20
  • We know that sum of three angles of a triangle is 180 degree
  • A + B + C = 180 degree
  • 60 + B + (B – 20) = 180
  • 2B = 180 – 60 + 20
  • B = 140 / 2
  • B = 70 degree
  • C = B – 20
  •   = 70 – 20
  • C = 50 degree
  • So A = 60 degree, B = 70 degree, C = 50 degree

Smallest angle will be C = 50 degree

Reference link will be

https://brainly.in/question/13071347

Answered by samsaravia0
0

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