# In the given figure if QRS is an equilateral triangle and TQS is an isosceles triangle

In the given figure if QRS is an equilateral triangle and TQS is an isosceles triangle and X=47^{o} then the value of Y (in degrees) will be

(a) 13^{o}

(b) 23^{o}

(c) 33^{o}

(d) 43^{o}

**Answer: (a) 13 ^{o}**

**Solution:-**

Angle X = Angle TQS = 47 (Triangle QST is an isosceles triangle then, ST = QT)

Angle Y + Angle TQS = 60 (Triangle PQR is an equilateral triangle)

Then, Y = 60 – 47

= 13 degree.

Then, the value of Y is 13 degree.

Hence, the correct answer is option (a) 13 degree.