Question

given figure a b parallel to dc and AD equal to bc and ac is a diagonal BAC =35° angle cad =40° a ,acb = x° acd =y° ​

Answer 1

Ansdwer:

Step-by-step explanation: given AB || DC and AD||BC , angle BAC=35°

angle CAD=40° ,angle ACB=x°,angle ACD=y°

Since, AB||DC Angle CAD=40°

So,angleACB and angle CAD are Alternate interior angles.

So,Angle CAD=Angle ACB

40°=40°

X=40°

Since ,AD||BC

Angle BAC=35°

So,angle BAC and angle ACD are Alternate angles .

So,angle BAC=angle ACD

35°=35°

Y=35°.

Answer 2

Answer:

step by step explanation

given AB is parallel to DC and AD is parallel to BC and angle BAC = 35° and angle CAD = 40° angle ACB = x angle ACD= y

since AB is parallel to DC

angle CAB =40°

so angle ACB and CAD are alternate interior angles

so angle CAD =angle ACB

so 40 =40

then x =40

since AD is parallel to BC

angle BAC = 35

angle BAC and angle ACD ate alternate angles

so angle BAC = angle ACD

35 = 35

y = 35

Hope it helps you