Question

In a parallelogram ABCD, B = (2x + 25)º and D= (4x - 5)'. Find:
the value of x
(ii) measure of each of the remaining angle.​

Answer 1

Answer:

(i) x =15°

because in a parallelogram opposite angles are equal.

So, angle B = angle D.

(ii)measure of each of the remaining angle

angle A=125°

angle C=125°

angle B=55°

angle D=55°

Answer 2

Answer:

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Step-by-step explanation:

since B=D ( opposite angles of llgm are equal)

therefore

2x+25= 4x-5

=>2x -4x = -5-25

=> -2x = -30

=> x= -30/ -2

=> x= +15

therefore B= D=4x-5 ( putting value of x)

= 4×15 -5

= 55

since A=C

A+B+C+D= 360. (by angle sum property of quadrilateral)

=>2A+55+55 =360

=>2A=360-110

=>A= 250/2

=>A= 125

therefore A=C= 125°

Hence, A=125°.B=55°.C=125° &D= 55°