Question

In kite PQRS,angle SPT=24°& angle TSP=53°.Find angle SPT & angle PSR​

Answer 1

Answer:

132°

Step-by-step explanation:

angle SPT= 24°

angle TSP = 53°

So according to angle sum property,

angle STP +angle SPT +angle TSP= 180°

so angle STP + 24° + 53° = 180°

angle STP + 77° = 180°

so angle STP = 180°- 77°

= angle STP= 103°

so angle STP= 103°

then angle STR = 180°-103° (linear pair)

= angle STR = 77°

according to angle sum property of triangle,

angle STR + angle SRT + angle RST = 180°

77° + 24° + angle RST = 180°

101° + angle RST= 180°

so angle RST = 180°-101°= 79°

then angle PSR = angle TSP + angle RST = 53°+ 79°= 132°

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