Question

In the adjoining figure. ABCD is a prallelogram Find the values of x and z
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Answer 1

Answer:

Angle BDC = 40 ( ALTERNATE ANGLES)

105+40+X=180( SUM OF ALL ANGKES IS 180)

X=180-145

X=35. THEREFORE Z=35°.

IN TRIANGLE ABD A=105°.

AYB=35°

ABY=40

A+ABY = Y°

SO

105+40=145.

THEREFORE

Z=35

Y=145.

HOPE IT HELPS YOU

THANKYOU FOR GIVING AN OPPORTUNITY TO SOLVE.

Answer 2

(2x+3)=(3x+1) [opposite sides of parallelogram are equal]

=>2x-3x=1-3

=> -x= -2

=> x=2

<C+<B=180° (adjacent angles of a parallelogram are supplementary)

=> 105°+40°+z=180°

=> 145°+z=180°

=> z=180°-145°

=> z=35°

z= <ADB (alternate angles are equal)

<ADB=35°

<ADB+y=180°(linear pair)

35°+y=180°

y=180°-35°

y=145°

Hence,x=2,y=145° and z=35°.

hope it will help you.