Maths / Constructions / Construction of Triangle using SAS Criteria

QUESTION

In the following figure if AB = AC then find $\angle x$.

Draw the figure

Book name - TALENT & OLYMPIAD 332

page No. 142

Q. no. 18

 OPTIONS A. $80^0$ B. $70^0$ C. $60^0$ D. $110^0$
Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

$\because \, \, AB=AC\\\\ \rightarrow \, \, \angle A=\angle C=X^0\\\\ \angle A+\angle B+\angle C=180^0\\\\ \angle A+X+X=180^0\\\\ \angle A=180^0-2X\\\\ \because \, \, \, \, Exterior\, \, angles\, \, is\, \, equal\, \, to\, \, the\, \, sum\, \, of\, \, opposite\, \, interior\, \, angles.\\\\ 180^0-2x^0+x^0=x+40\\\\ 2x=140^0\\\\ x=70^0$

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