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MZR = 110 and mZS = 80. Find mZT. The diagram is not to scale.

MZR = 110 and mZS = 80. Find mZT. The diagram is not to scale.-example-1

1 Answer

3 votes

Answer:

d. 90°

Explanation:

Recall: based on the properties of a kite, the angles where the two unequal sides meet are congruent, this means that m<S = m<U.

Also, the sum of all angles of a kite = 360°

Therefore:

m<S + m<U + m<R + m<T = 360°

m<S = m<U = 80°

m<R = 110°

Substitute

80° + 80° + 110° + m<T = 360°

270° + m<T = 360°

Subtract 270° from each side

m<T = 360° - 270° = 90°

User Anurag Bhalekar
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