Question

find X in the following figure​

Answer 1

Answer:

x = 7

Step-by-step explanation:

angle AQR= angle QRD

(alternate interior angle )

angle QRD+ angle SRD = 180

7x+14+4x+89=180

11x+103=180

11x=180-103

11x=77

x=7

hope it will help.u

Answer 2

Answer:

X= 7°

Step-by-step explanation:

<SRD = <CRQ (Vertically opposite )

So,

<CRQ = (4x + 89)°

AB||CD and PS is the transversal

<ARQ + < CRQ = 180° ( sum of of the angle on same

side of the transversal )

=> (7x +14)° + ( 4x + 89)° = 180°

=> 7x + 14° + 4x + 89° = 180°

=> 11x + 103° = 180°

=> 11x = 180° - 103°

=> 11x = 77°

=> x = 77°/ 11

So, x = 7°