In Triangle ABC, Angle B = 95°, Angle ACB can be which of the following?
a) 90° b) 85°C) 75° d) 95°
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We have to find the ∠ACB from the given options.
Let us be clear that the sum of the three internal angles of a triangle is 180° and no angle can be of zero measurement, i.e., 0°.
Option (A)
- ∠B + ∠C = 95° + 90° = 185°
- Sum of the angles cannot be > 180°.
- So option (A) is incorrect.
Option (B)
- ∠B + ∠C = 95° + 85° = 180°
- The other angle will be 0°.
- So option (B) is incorrect.
Option (C)
- ∠B + ∠C = 95° + 75° = 170°
- The other angle being 10°.
- So option (C) is correct.
Option (D)
- ∠B + ∠C = 95° + 95° = 190°
- Sum of the angles cannot be > 180°.
- So option (D) is incorrect.
∴ option (C) ∠ACB = 75°.
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