Question

ABCD is a square. find the measure of angle DAC and angle DCA

Answer 1

WE know in a square every angle is equal to 90°.

Now in ∆ACD,

AD = CD ( all sides of a square are equal)
We know angle opposite to equal sides are equl so ∠1=∠2=x (say)

We know sum of all angles of a triangle is equal to 180°

∠1+∠2+∠D = 180°
x+x+90°=180°
2x=90°
x= 45°

So ∠1=∠2=45°

∠1=∠DAC =∠DCA=45°

Answer 2

ABCD is a square. find the measure of angle DAC and angle DCA