= In fig AB = AC and AP I BC and B = 60°. Then find (i) BAP (ii) ACB. A. B P С
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Here, we are given with triangle ABC and some of the necessary conditions and measures of the angles:
- AB = AC
- AP ⟂ BC
- Angle B = 60°
We have to find angle BAP and angle ACB
Finding angle BAP:
In triangle ∆APB,
- Angle APB = 90°
- Angle ABP = 60° (Angle B = 60° )
And we know that, the angle sum property of a triangle says that all angles of a triangle add upto 180°. So,
Substituting the values of given angles,
Hence, measure of angle BAP = 30°
Finding angle ACB:
In triangle ∆ABC,
- AB = AC
We know that, equal angles faces equal sides in a triangle, so we can write that:
Flipping it,
Hence, angle ACB = 60°
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