In △ABC, m∠B - 120°. Ratio between m∠A and m∠C is 5 : 7, then m∠A is _____?
- 35°
- 15°
- 25°
- None of these
Explanation
Given Data:
m∠B = 120°
Ratio of m∠A : m∠C = 5 : 7
Step-by-Step Solution:
Triangle Angle Sum Property:
m∠A + m∠B + m∠C = 180°
m∠A + 120° + m∠C = 180°
m∠A + m∠C = 60°
Solving Using Ratio:
Let m∠A = 5x and m∠C = 7x
5x + 7x = 60
12x = 60
x = 5
Finding m∠A:
m∠A = 5 × 5 = 25°
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