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A roof truss is an isosceles triangle with a ridge (top) angle of 110°. The bottom tie beam is extended past one eave. What exterior angle does the extended beam make with the sloping rafter?

Class 9Exterior Angle of a TriangleGeometry — Lines and Angles
  • A145°
  • B35°
  • C110°
  • D125°

Step-by-Step Solution

Base angles = (180° − 110°) ÷ 2 = 35°. Exterior angle at an eave = 180° − 35° = 145°, which also equals 110° + 35°.
Answer: A) 145°

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