A, B, C are the three angles of a triangle. If A – B = 15o
, B – C = 30o
, Find all the angles
of the triangles
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Answer:
We know that the sum of all the angles of a triangle
is 180°
so, A + B+ C= 180°
Given,
A - B = 15°
⇒A= 15° + B
other hand,
B - C = 30°
⇒B= 30° + C
By substitution,
A = 15° + 30° + C
= 45° + C
A+B+C= 180°
⇒45°+C+30°+C=180°
⇒2C=180°- 75°
⇒C= 105/2
⇒C= 52.5
A= 45°+ 52.5°
=97.5°
B= 30°+ 52.5°
=82.5°
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