Question

In the given figure AB=AC, AD is perpendicular to BC, angle PAC is 102° . Find the value of x, y​

Answer 1

Answer:

y=39 x=51

Step-by-step explanation:

consider triangles ABD & ADC

AB=AC

AD=AD

BD=CD

Angles opposite to equal sides are equal

angle CAD=y

2y+102=180(linear pair)

2y=180-102

=78

y=78÷2

=39

Sum of Angles in a triangle=180

90+39+x=180

129+x=180

x=180-129

=51