InkiteABCDofExercise32,AB = 6x + 5,AD = 3x + 3, and BC = x - 2. Find the perimeter (sum of lengths of all sides) of kite ABCD.

Question

1. In kiteABCDofExercise32,AB = 6x + 5,AD = 3x + 3, and BC = x - 2. Find the perimeter (sum of lengths of all sides) of kite ABCD.

2. In concave kite ABCD, there is an interior angle at vertex B that is a reflex angle. Given that

m∠A = m∠C = m∠D = 30°, find the measure of the indicated reflex angle.

3. Assuming that m∠B > m∠A in square ABCD, which diagonal (AC or BD) would be longer?

Answer 1

1)

AB = AD

3x + 3 = 6x + 5

-3x = 2

x = -2/3 not acceptable

2)

360° - 30° - 30° - 30° = ?

3)

The two diagonals of a square are equal.