Question

2) In the adjacent figure, seg AB ||seg AD, seg BC ||seg BD, angle BAD = 70°, angle BCD = 65°. Find the values of x, y, z and p.​

Answer 1

Answer:

x= 55°

y=55°

p=50°

z=65°

in∆ABD

AB=AD

<x=<y

<x+<y - 180= 70

180- 70= 100

<x=55°

<y=55°

in∆BDC

BD=BC

<BCD= 65°

<BCD= <Z ( angle opposite to equal sides are equal)

<Z= 65°

<p= <BCD+<Z-180°

= 65°+65°-180°= 50°