In Fig. 10.39, A, B, C and D are four points on a
circle. AC and BD intersect at a point E such
that angle BEC = 130° and angle BCD = 20°. Find angle BAC
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13
Answer:
BAC=∠CDE ...Angles in the segment of the circle
In ΔCDEΔCDE,
∠CEB = ∠CDE + ∠DCE∠CEB=∠CDE+∠DCE ...Exterior angles of the triangle
⇒ 130° = ∠CDE + 20°⇒130°=∠CDE+20°
⇒ ∠CDE = 110°⇒∠CDE=110°
Thus, ∠BAC = 110°∠BAC=110°
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3
Answer:
110
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