Question 5

XYZW is a square and an equilateral triangle AXY is drawn such that A is a point inside the square. What is the angle WAZ in degrees?

A

210

B

175

C

150

D

120

Explanation

Angle XAY is 60 degrees. Angle AXW is 30 degrees. As, XAW is an isosceles triangle, angle XAW equals 75 degrees. Similarly, angle YAZ equals 75 degrees. So, angle WAZ is 360-75-75-60=150 degrees

how can angle xaw be 75 ? if it's an iscoless triangle with both angle 30 then it should be 110? right ? please answer

Hi Vismit,
AXY is an equilateral triangle, so that means that the side of the equilateral triangle is equal to the side of the square. Now angle axy = 60 degrees, so angle axw = 30 degrees. In triangle AXW, AX = XW, So Triangle AXW is an isosceles triangle. In isosceles triangles angles opposite to equal sides are equal, so angle xwz =angle xaw (This is where you were making a mistake) angle xwz + angle xaw = 150, so each of them would be 75.
If your doubt still persists, feel free to post again or reply on this thread only.
Thanks