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Lines and Angles — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsLines and Angles1 Mark
MCQ
In the adjoining figure, $\text{AB}\parallel\text{CD}$ and $\text{AB}\parallel\text{EF}$ The value of $x$ is:
  • A
    $70^\circ$
  • B
    $40^\circ$
  • ✓
    $60^\circ$
  • D
    $50^\circ$
✓

Answer

Correct option: C.
$60^\circ$
$\angle\text{FEC}+\angle\text{ECD}=180^\circ$ (sum of 2 supplimentary angles is 180°)
$\angle\text{FEC}+\angle180^\circ-150^\circ=30^\circ$
$\angle\text{X}=\angle\text{BCE}=\angle\text{ECD}$
$\angle\text{X}=30^\circ+30^\circ=60^\circ$

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