Question

Write an equation and solve for the value of x stare the reason for your equation

Answer 1

Remember that the total of the angles always equals 180 degrees

4x + 2 + 8 + 6x + 30 = 180

Now solve

4x + 2 - 2 + 8 + 6x + 30 = 180 - 2

4x + 8 - 8 + 6x + 30 = 178 - 8

4x + 6x + 30 - 30 = 170 - 30

4x + 6x = 140

10x = 140

10x ÷ 10 = 140 ÷ 10

x = 14

Now that we know what x is we can fill in the blanks

4(14) + 2

58 + 2

58

Angle O is 58 degrees

8 + 6(14)

8 + 84

92

Angle R is 92 degrees

To check we can add them all up

30 + 58 + 92 = 180

x = 14