Maths · Straight line: Various forms of equations of a line, intersection of lines, angles between two lines
In the given figure (not drawn to scale), is a parallelogram, is an isosceles tr
In the given figure (not drawn to scale), \( A B C D \) is a parallelogram, \( A D F \) is an isosceles triangle with \( \boldsymbol{A} \boldsymbol{D}=\boldsymbol{A} \boldsymbol{F} \) \( F A B \) and \( E D C \) are straight lines. Find \( \boldsymbol{y} \)
- A. 112
- B. 102
- C. 132 \)
- D. 11
Step-by-step solution
In parallelogram ABCD, AB ∥ DC. Since FAB and EDC are straight lines, AF ∥ DE. In isosceles triangle ADF, AD = AF, so ∠ADF = ∠AFD. Using angle sum and parallel line properties, we find y = 102°.
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