Question

TRIANGLE BAD AND TRIANGLE ADC ARE TWO ISOSCELES TRIANGLES IF ANGLE ABD=64°, FIND ANGLE DAC...
DO IN STEPS..
WHO WILL DO IT AS FAST AS POSSIBLE I WILL MARK AS BRANINLIST...​

Answer 1

Answer: ∠DAC= 32°

Step-by-step explanation:

IN ΔABD,

AD = AB

⇒ ∠ABD = ∠ADB = 64°

Now, ∠BDC  =180°( LINEAR PAIR)

∠ADC= 180°-64°

∠ADC = 116°

In ΔADC, ∠ADC  + ∠DCA + ∠DAC= 180° (ANGLE SUM PROPERTY)

⇒116° + 2( DAC) = 180° ( ∠DAC=∠DCA SINCE  AD = DC)

⇒+ 2( DAC) = 180°- 116°

⇒ 2( DAC) = 64°

⇒∠DAC= 32°

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