Question

Solve the following
​

Answer 1

Answer:

<x=55

<y=45

<z=70

Step-by-step explanation:

ABD is an isosceles triangle where AB is parallel to AD and

<B=<D

55=x

55=55

same happens with the BDC triangle where BC is parallel to DC and

<B=<D

y=45

45=45

In triangle ABD

55+55+<Z=180(the sum of angles of a triangle equals 180)

110+<Z=180

<Z=180-110

<Z=70

Answer 2

Answer:

angle X = 55°

angle Y = 45°

angle Z = 70°

angle ABC=100°

Step-by-step explanation:

In ∆ABD:-

AB=AD, BC=DC (given)

so ∆ABD and ∆BCD are isosceles triangles

therefore angle ABD = angle X and similarly angle CDB = angle Y

(angles to equal sides of isosceles triangle are equal)

angle X = 55°

angle Y = 45°

sum of angle of triangle is 180°

in ∆ABD:-

angle Z = 180°-(angle B + angle X)

=> 180°-(55°+55°)=70°

angle Z = 70°

angle ABC= angle Y + angle ABD

=>45°+55°=100°

cheese

:)