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
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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
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