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Lines and Angles — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsLines and Angles1 Mark
MCQ
In the adjoining figure, $AB \| CD$ and $AB \| EF$. If $\text{EA}\bot\text{BA}$ and $\angle\text{BEF}=55^\circ,$ then the values of $x, y$ and $z:$
  • A
    $35^\circ , 125^\circ , 120^\circ$
  • ✓
    $125^\circ , 125^\circ , 35^\circ$
  • C
    $60^\circ , 60^\circ , 60^\circ$
  • D
    $120^\circ , 130^\circ , 25^\circ$
✓

Answer

Correct option: B.
$125^\circ , 125^\circ , 35^\circ$
$x + 55 = 180^\circ $ (Sum of supplementary angles or co-interior angles)$x = 125^\circ$
$x = y = 125^\circ $ (Corresponding angles)
$\text{z}+\angle\text{EAB}=\text{y} $ (Exterior angle property)
$z = 125^\circ - 90^\circ = 35^\circ .$

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