Question

correct value of x given is 82 degree

plz solve ​

Answer 1

Answer:

answer for the given problem is x=82°

Step-by-step explanation:

Used concept:-

The sum of all interior angles of a triangle is 180°

Answer 2

In ∆ABC

AB = AC

∠ABC = ∠ACB

[ Angles opposite to same sides are equal ]

∠ABC + ∠ACB + ∠BAC = 180°

58° + 58 ° + ∠BAC = 180°

180° - 116° = ∠BAC

64° = ∠BAC

Now ;

∠ACD = 180° - ∠ACB

∠ACD = 180° - 58°

∠ACD = 122°

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In ∆ ADC

∠ACD + ∠ADC + ∠DAC = 180°

180° - (122° + 40°) = ∠DAC

180° - 162° = ∠DAC

18° = ∠DAC

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x° = ∠BAC + ∠DAC

x = 64° + 18°

$\bold{\boxed{ \boxed{ \boxed{\boxed{x = 82°}}}}}$

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I HOPE IT HELPS.