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5x°42°NOT TOSCALEy°x = ................................................. [1]The diagram is made from 5 congruent kites.Work out the value of(a) x,(b) y.y = ................................................. [2]

Question

5x°42°NOT TOSCALEy°x = ................................................. [1]The diagram is made from 5 congruent kites.Work out the value of(a) x,(b) y.y = ................................................. [2]

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Solution

The problem seems to be incomplete. However, I can provide some guidance based on the information given.

A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. The angles between the equal sides are equal.

(a) To find the value of x: If the diagram is made from 5 congruent kites, then the sum of the interior angles of these 5 kites is equal to 360° (since they form a circle). The sum of the interior angles of a kite is 360°. Therefore, each angle x in the kite is 360°/5 = 72°.

(b) To find the value of y: In a kite, the angles between the unequal sides are supplementary (they add up to 180°). If one of these angles is 42° (as given), then the other angle y is 180° - 42° = 138°.

Please note that this solution assumes that the angle x is between the unequal sides and the angle y is between the equal sides. If the diagram or additional information was provided, the solution might be different.

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