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Lines and Angles — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSLines and Angles1 Mark
MCQ
Lines $m$ and $n$ are cut by a transversal so that $\angle{1}$ and$\angle{5}$ are corresponding angles. If $\angle1=26\text{x}-7^\circ$ and $\angle5=20\text{x}+17^\circ.$ What value of $x$ makes the lines $m$ and $n$ parallel$?$
  • A
    $5$
  • ✓
    $4$
  • C
    $4\frac{1}{2}$
  • D
    $3\frac{1}{4}$
✓

Answer

Correct option: B.
$4$

 For the lines $mm$ and $nn$ to be parallel corresponding angles should be equal, i.e,
$\angle1=\angle5$
$\Rightarrow26\text{x}-7^\circ=20\text{x}+17^\circ$
$\Rightarrow6\text{x}=24^\circ$
$\Rightarrow\text{x}=4^\circ$

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