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In the given figure (not to scale), ABC is an isosceles triangle in which AB=AC. AEDC is a parallelogram. If `angleCDF=70^(@)` and `angleBFE=180^(@)`, then find `angleFBA`. A. `30^(@)`B. `40^(@)`C. `50^(@)`D. `80^(@)` |
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Answer» i) In a parallelogram, any pair of adjacent angles are supplementary. ii) `angleEFG=angleFGC=angleAGB` and `angleACB` `=angleABC=angleCDE. (therefore angle bar(AC) || bar(DE))` iii) Use the above data and find `angleBAC`, and then `angleABC`. |
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