Maths / Constructions / Construction of Triangle using ASA Criteria

QUESTION

In $\Delta$ABC, if AB = BC and $\dpi{120} \fn_jvn \large \angle B =80^0$  then $\angle$C = ________

 OPTIONS A. 50 B. 100 C. 130 D. 30
Right Option : A

EXPLANATION
Explain TypeExplanation Content
Text

$\dpi{120} \fn_jvn \large \because \, \, AB=BC$

$\dpi{120} \fn_jvn \large \angle B=\angle C$ (angles opposite to equal sides are equal)

$\dpi{120} \fn_jvn \large \\\\ \angle A+\angle B+\angle C=180^0$

$\dpi{120} \fn_jvn \large 2\angle C+80^0=180^0$

$\dpi{120} \fn_jvn \large \angle C=50^0.$

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