A, B, C are three angles of a triangle. If A - B = 45° and B - C = 15° then ∠A = ?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 95°.
Calculations:
We know that sum of all angles of a triangle = 180
A, B and C are the three angles of the triangle
⇒ A + B + C = 180 ---- (1)
According to the question;
⇒ A - B = 45 or A = 45 + B
⇒ B - C = 15 or C = B - 15
Using the values of A and C in equation (1)
⇒ B + 45 + B + B - 15 = 180
⇒ 3B + 30 = 180
⇒ B = 50
Now,
A = B + 45
⇒ A = 50 + 45 = 95°