Question

Q10. Find the value of x, y and z in a parallelogram 24 C D 20 x+y 16 y+ Z A B Z-4​

Answer 1

Step-by-step explanation:

Solving for x:-

Opposite sides of a parallelogram are equal. So we can equate both side to find x,

2x+2=3x−1,

or,2x−3x=−2−1(Taking x on same side)

or,−x=−3

or,x=3

x=3cmAnswer

Solving for z:-

Sum of any two consecutive angles of a parallelogram is supplementary,i.e., 180

So we can write,

∠A+∠B=180

or,(z+50)+102=180

or,z+152=180

or,z=180−152

or,z=28Answer

Solving for y:-

ABCD is a paralleogram,

∴AB||CDand AC is intersecting lines,

so,∠BAC=∠ACD(Alternateanglesareequal)

∠ACD=28(As∠BAC=28)

Now,CDintersectsAC

Sumofanglesformedbyintersectionoftwolineissupplementary.

i.e.,∠ACD+∠y=180

or,28+∠y=180(As∠ACD=28)

or,∠y=180−28

or,∠y=152