Question

how many diagonals does a regular hexagon have?
a. 2 b.0 c.9 d. 4

the measure of each exterior angle of a regular polygon of 15 sides is?
a. 30 b. 60 c. 24 d.45

one angle of a parallelogram is a right angle. the name of the quadrilateral is
a. rectangle
b. kite
c. square
d. rhombus​

Answer 1

Step-by-step explanation:

1. 9 diagonals
2. 24°
3. rectangle.

Answer 2

Answer:

how many diagonals does a regular hexagon have?

Answer: 9

Step-by-step explanation:

The formula of finding diagonals is $\frac{n(n-3)}{2}$

Here 'n' is the number of sides

Number of sides the hexagon has = 6

Number of diagonals hexagon has = $\frac{6*(6-3)}{2}$

                                                            = $\frac{18}{2}$

                                                            = 9

the measure of each exterior angle of a regular polygon of 15 sides is?

Answer: 24

Step-by-step explanation:

The sum of exterior angles of any polygon = $360^{0}$

the number of sides= 15

the measure of each polygon = $\frac{360}{15}$

                                                   = 24

one angle of a parallelogram is a right angle. the name of the quadrilateral is

Answer: Rectangle

Step-by-step explanation:

The properties of rectangle are almost similar that to the parallelogram

PARRALELOGRAM:

1. Opposite sides are equal

2. Opposite angles are equal

3. Sum of Adjacent angles is $180^{0}$

4. Diagonals bisects each other

RECTANGLE:

1. Opposite sides are equal

2. All angles are equal to $90^{0}$ (We can say also opposite angles are equal)

3. Sum of Adjacent angles is $180^{0}$

4. Diagonals bisects each other

thus the answer is Rectangle

HOPE THIS HELPS