Find the value of x in each figure. ,

#5  39 = x

Sides:

x - 15

2x

2x

Total of sides = 180

180 = (x-15) + 2x + 2x

180 = x - 15 + 4x  

180 = -15 + 5x     (add 15 to each side to remove -15)

195 = 5x     (divide by 5 on each side to get x)

39 = x

#7  24 = x

Sides:

2x - 4

3x + 5  

2x + 11

Total of sides = 180

180 = (2x - 4) + (3x + 5) + (2x + 11)

180 = 2x - 4 + 3x + 5 + 2x + 11

180 = 7x + 12      (subtract 12 to each side to remove 12)

168 = 7x      (divide by 7 on each side to get x)

24 = x

#8  37 = x

Sides:

x

x + 4

3x - 9

Total of sides = 180

180 = (x) + (x + 4) + (3x - 9)

180 = x + x + 4 + 3x - 9

180 = 5x - 5      (add 5 to each side to remove -5)  

185 = 5x      (divide by 5 on each side to get x)

37 = x

Step-by-step explanation:

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

step-by-step explanation:

a rhombus is a parallelogram enjoying his symmetry.