Question

In the given figure, C is the mid-point of AB and DA=DB . Prove that angle DCA = angle DCB.​

Answer 1

Answer:

yes they are equal

Step-by-step explanation:

given = c is the mid point,DA=DB

to prove=angle DCA= angle DCB

proof= c is the mid point of the line AB

DB=DA so it is a isosceles triangle

when we take line CD which is perpendicularly bisects the AB so the angles formed will be a right angle so the angles are same

Answer 2

Step-by-step explanation:

Given: A ΔADC in which C is the mid point of AB and AD = BD.

To prove : angle ACD = angle BCD

Proof : In Δ ADC and Δ BDC

AD = BD { Given

AC = BC { Since C is the mid point

CD is common

Now, ΔACD is congruent to ΔBCD

{by SSS congruence

therefore, angle ACD = angle BCD

Hence Proved.

HOPE IT WOULD HELP............