Question

fine X and measure every angle of a parallelogram pqrs given alongside ​

Answer 1

Answer:

<RSP = 81, <SPQ = 99, <RQP = 81, <SRQ = 99.

AND THE VALUE OF 'X' IS 43.

Step-by-step explanation:

Opposite angles of a parallelogram and rectangle are equal.

SO, <SPQ AND <SRQ will be equal.

=> ,SPQ= 3x-30.

< SPQ + 2X-5 = 180 (since they form straight line.)

3x-30+2x-5 = 180

5x - 35 = 180

5x = 215

x =43 .

<SPQ = <SRQ = 3x-30

AND

<RQP = <RSP = 2x-5 [as (2x-5) is alternate interior angle to <RSP and alternate interior and exterior angles will always be same].

So,

<SPQ AND <SRQ = 99

AND

<RQP AND <RSP = 81.

So, the angles are 99, 81, 99, 81.