In the diagram ABCD is a square and BCTis equilateral triangle. Find angle BTD
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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.
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Answer:
45°
Step-by-step explanation:
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