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In an isosceles triangle ABC, AB = AC, XY ||BC. IfÐA = 30°, then ∠BXY = ?
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- 75°
- 30°
- 150°
- 105°
- 75°
Correct Option: D
On the basis of given in question , we draw a figure of an isosceles triangle ABC ,
∆ ABC is an isosceles triangle.
∴ ∠ABC = ∠ACB { ∴ AB = AC }
| ∠ABC = | = 75° | |
| 2 |
XY || BC
∴ ∠AXY = ∠ABC = 75°
∴ ∠BXY = 180° – ∠ABC = 180° – 75° = 105°
