goatmum123
goatmum123 goatmum123
  • 22-02-2021
  • Mathematics
contestada

m∠R=140 and m∠S=100. Find the m∠T. The diagram is not on the scale.

mR140 and mS100 Find the mT The diagram is not on the scale class=

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akposevictor
akposevictor akposevictor
  • 27-02-2021

Answer:

m<T = 20°

Step-by-step explanation:

m<R = 140°

m<S = 100°

The figure given is a kite. The angles formed where two unequal sides meet are always congruent to each other. This means:

m<S = m<U = 100°

Sum of all interior angles of a quadrilateral = 360°

Therefore:

m<T = 360° - (m<S + m<U + m<R)

m<T = 360° - (100° + 100° + 140°) (substitution)

m<T = 20°

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