Question

see the attachment and give the answer if you know please give the explanation​

Answer 1

<QSR+<SRQ=<RQD (exterior angle property of a triangle)

=>-1+27x+15x+5=130

=>27x+15x+5-1=130

=>42x+4=130

=>42x=130-4

=>42x=126

=>x=126/42

=>x=3

Thus,the value of x is 3.

Answer 2

Answer:

Step-by-step explanation:

We know that Exterior angle = Sum of two opposite interior angles.

=> For exterior angle of Q, the interior opposite angles are ∠QSR and ∠QRS.

=> 130 = 15x + 5 + ( - 1 + 27x)

=> 130 = 15x + 5 - 1 + 27x

=> 130 = 42x + 4

=> 42x = 130 - 4

=> 42x = 126

=> x = 126/42 = 3.

Thus ∠QRS = 15 * 3 + 5 = 50°

       ∠QSR = 27 * 3 -1  = 80°