Question

Find the values of x and y using the
information shown in figure 3.37.
Find the measure of ZABD and m ZACD.​

Answer 1

Answer:

Given that

∠CBD=600and∠ACB=500

And given AB=AC and BD=DC

To find the value of xandy

Solution:   In ΔABC,

x=500        (Isosceles triangle theorem)

y=600        (Isosceles triangle theorem)

We know that,

∠ABD=∠ABC+∠CBD

=x+600

=500+600

∠ABD=1100

And now,

∠ACD=∠ACB+∠BCD

=500+y

=500+600

=1100