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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