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Grade 11Analytical Geometry

In an acute-angled triangle ABC, the altitudes from A, B, C when extended intersect the circumcircle again
at points A₁, B₁, C₁, respectively. If angle ABC = 45° then angle A₁B₁C₁ equals

Question image for In an acute-angled triangle ABC, the altitudes fro

Vineeth

11 Years agoGrade 11

1 Answer

Latika Leekha

11 Years ago

Hello student,
We are given that ∠ABC = 45°
So, ∠BCH = 45° = ∠BCA₁
∠C₁CA₁ = 45° + 45° = 90°
So, ∠C₁B₁A₁ = 90°
Hence, the required angle ∠A₁B₁C₁ = 90°.

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