ABCD is a kite and angle A=angle C if angle CAD=60°and angle CBD=45° ,find
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ABCD is a kite and angle A=angle C if angle CAD=60°and angle CBD=45° ,find
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Step 1 is to draw a picture and label it with the known angles and sides. Unfortunately, I can't draw one on this text editor. Be sure to draw in the two diagonals, AC and BD. Label the point where the diagonals cross as point E. In a kite, there are three important properties you need to know to solve this problem:
The diagonals intersect at right angles
Diagonal AC bisects diagonal BD
Diagonal AC bisects angles BAD and BCD
Given property 3 above, if angle CAD = 400 then angle BAC = 400
Look at triangle BCE. Angle CBE is given as 600 and angle BEC = 900 (property 1 above).
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