Find the value of x in the angle pair.

x=30

Step-by-step explanation:

180-55=125

5x-25=125

125+25=150

5x=150

5/150=30

x=30

x=30

Step-by-step explanation:

The angles shown are supplementary meaning that the sum of the two is 180

So we create an equation

180=5x-25+55

now we solve for x

step 1 combine like terms

55-25=30

now we have

180=5x+30

step 2 subtract 30 from each side

180-30=150

now we have

150=5x

step 3 divide each side by 5

150/5=30

we're left with

x=30

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'.

salary

step-by-step explanation: