Question

In the figure PQRS is a rhombus, the diagonals meet at T. angle TQR is 32 degree. find angle TRS?

Answer 1

Answer:

58 degrees

Step-by-step explanation:

angle QTR = 90 degrees (diagonals meet at 90 degree in a rhombus)

angle PQT = TQR = 32 degrees (diagonals bisect opposite angles)

in triangle QTR, angle QTR = 90 degrees

so angle TQR + QRT = 180 - angle QTR = 90 degrees

angle TQR = 32 degrees

so angle QRT = 90 - 32 = 58 degrees

so angle QRT = TRS = 58 degrees

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