Question

In Fig 14.13 ABC is an equilateral triangle and ABD is an isoceles triangle with DA =DB .Find x​

Answer 1

Answer:

∠x=14°

Step-by-step explanation:

Given that ΔABC is an equilateral triangle

⇒∠A=∠B=∠C=60°

In a ΔDAB,

DA=DB ....Given

⇒∠ABD=∠DAB angles opposite to equal sides are also equal

Sum of all angles of a triangle =180° .

⇒∠ABD+∠DAB+88 =180°

⇒∠ABD+∠DAB=92°

⇒∠ABD=∠DAB=46°

⇒∠B=∠x+∠ABD=60°

⇒∠x+46° =60°

⇒∠x=14°

Answer 2

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