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Illustrate then solve the following problems. Show your complete solution.

1. If the number of degrees in one angle of an isosceles trapezoid is x° and the angle opposite it contains (x + 20)°, how many degrees are there in each angle?
2. Find the length of a diagonal of a kite whose area is 176 sq. cm and the other diagonal is 16 cm long.​

Sagot :

TERANOROMEOGO

Answer:

1. each angle measures 80° and 100°

2. 22 cm

Step-by-step explanation:

1. opposite angles of isosceles trapezoid are supplementary, so it would be  x+x+20=180

       2x=160

         x=80, so it means that each angle measures 80° and 100° respectively.

2. the area of kite is half the product of its diagonals, so

[tex]A=\frac{1}{2} d_{1} d_{2} \\176=\frac{d_{1}(16) }{2} \\\\352=16d\\d=22cm[/tex]

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