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Circles — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsCircles1 Mark
MCQ
In the given figure, ABCD is a cyclic quadrilateral in which DC is produced to E and CF is drawn parallel to AB such that $\angle\text{ADC}=95^\circ$ and $\angle\text{ECF}=20^\circ.$ Then, $\angle\text{EAD}=?$
  • A
    95°
  • B
    85°
  • C
    105°
  • D
    75°

✓

Answer

  1. 105°
    Solution:
    Since CF || AB, $\angle\text{ABC}=\angle\text{BCF}=85^\circ$
    $\angle\text{BAD}=\angle\text{BCE}$
    $\Rightarrow\ \angle\text{BAD}=\angle\text{BCF}+\angle\text{ECF}$
    $\Rightarrow\ \angle\text{BAD}=105^\circ$

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