Question

find measure of angle X in given figure​

Answer 1

Answer:

x is 90

in triangle acd angle c= angle d

and angle c = angle b +angle a (exterior angle)

so angle c =60

angle x is angle b+ angle d (exterior angle)

x= 60+30=90

and angle x is exterior of

Answer 2

Answer:

In triangle ABC

angle BAC=30

angle CBA=30

so

angle Back+angle CBA+angle BCA= 180( angle sum property)

30+30+angle BCA=180

angle BCA=120

In triangle ACD

AC= AD

angle ACD=Angle ADC

angle ACD+angle BCA=180(Linear pair)

angle ACD=180-120=60

angle ACD= angle ADC=60

so

angle CAD=60

then,

angle CAD +angle BAC+angle x=180(linear pair)

30+60+x=180

90+x=180

x=90