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Lines and Angles — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsLines and Angles1 Mark
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Answer

  1. 60º
    Solution:
    Through B draw YBZ || OA || CD.

    Now, OA || YB and AB is the transversal.
    $\Rightarrow\angle\text{OAB}+\angle\text{YBA}=180^\circ$ (interior angles are supplementary)
    $\Rightarrow\angle\text{YBA}=70^\circ$
    Also, CD || BZ and BC is the transversal.
    $\Rightarrow\angle\text{DCB}+\angle\text{CBZ}=180^\circ$ (interior angles are supplementary)

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