Verified Answer :

HomertheGenius

y = x + 3
3 x + 2 = y + 1
3 x + 2 = x + 3 + 1 
2 x = 2
x = 1,   y = x + 3 = 4
We have:  3 x + 2 = y + 1 and: y = x + 3.
It means that we have 4 equal triangles ( O is the centre ):
ΔTOS,  ΔSOR,  ΔROQ,  ΔQOT.
∠ 1 = 53°
∠ 2 = (180° - 2 · 53°) : 2 = 37°
Answer: C ) 37° 
 

Answer:

Correct anwer is option C (37degrees)

Step-by-step explanation:

We know that the diagonals of a rhombus bisect each other and perpendicular to each other and and diagonals bisect the angles

therefore from given figure it is clear that

In \(\triangle TOS\) by angle sum property

\(\angle TOS=90 \\\angle1=53\\\\\)

\(\angle1+\angle2+90=180\\53+\angle2=180-90\\\angle2=90-53\\\angle2=37degrees\)

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