Question

in the diagram ABCD is a square and BCT is a equilateral triangle find angle BTD​

Answer 1

Step-by-step explanation:

Given , ABCD is a square and triangle BTC is an equilateral triangle.

To find : angle BTD

BC=BT=TC (Triangle BTC is equilateral)

AB=BC=CD=DA (ABCD is a square)

Therefore TC=DC

So, triangle DCT is isosceles triangle

so ,DTC=TDC (angles opposite to equal

sides are equal)

DCT+TDC+DTC=180

2DTC=180-150

DTC=15

BTD = BTC-DTC

BTD = 60-15

BTD = 45

Hence , angle BTD is equal to 45 degree.