Answer :

The value of X is 52°.

What is a right angled triangle?

  • Originally called a rectangled triangle, a right triangle (American English) or right-angled triangle (British) is a triangle with two perpendicular sides and one angle that is a right angle (90 degrees).
  • The relationship between the sides and various angles of the right triangle serves as the basis for trigonometry.
  • Legs are the sides that meet at the right angle.
  • The side b that is adjacent to angle B and opposite to angle A is known as side a, while the side a that is adjacent to angle A and opposite to angle B is known as side b.

Here it is given that, ∠QRS=90°

                                 ∠RSQ=34°

Let assume ∠SQR=y

Then, 90°+34°+y=180°

           124°+y=180°

            y=180°-124°    

              =56°

Then value of X is,

56°+x+72°=180°

x=180°-128°

x=52°

Hence, The value of X is 52°.

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