So, on solving this provided question, we can say tht the valuesquantityof ∠x and ∠y are 16° and 62°.What are the measures of ∠ X and ∠ Y?We are aware that atriangle'sinterior and exterior angles are added together. Additionally, we are aware that the sum of a triangle's angles is 180degrees. As a result, the angles of x and y are 16° and 62°, respectively.By angle sum property,∠A + ∠B + ∠C = 180°102° + 164° + ∠x = 180°164° + ∠x = 180°∠x = 180° - 164°∠x = 16°According to the external angle theorem, an outside angle's measure is equal to the sum of its two opposite interior angle's measurements.∠y = 102° + 164°∠y = 164° - 102°∠y = 62°Therefore, the values of ∠x and ∠y are 16° and 62°.To know more aboutquantityrefer to:brainly.com/question/25215131#SPJ1...

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