Question

Can someone plZzzzZZ help me with all of the questions plzzzzzzZZ

Answer 1

Answer:

Step-by-step explanation:

1) sum of measures of interior angle 30-gon = 180 * (n - 2) = 180* (30-2)

                    = 180*28 = 5040

2) measure of one interior angle 30-gon = 5040/30 = 168

3) Interior angle of a regular polygon = 160

Exterior angle of a regular polygon = 180 - 160 = 20

No. of sides = 360/exterior angle = 360/20 = 18 sides

4) m<A = 4x

   m<C =7x

5) opposite angles are equal in a parallelogram.

i) 2x + 20 = 4x - 50

20 + 50 = 4x - 2x

70 = 2x

2x = 70

x = 70/2 = 35

x =35

2y - 90 = y

2y - y = 90

y =90

ii)opposite sides are equal in a parallelogram.

6x - 15 = x + 10

6x - x = 10 + 15

5x = 25

x = 25/5

x = 5

4y - 20 = 2y - 8

4y - 2y = 20 - 8

2y = 12

y = 12/2

y = 6