Question

Can someone explain this please

Answer 1

x = 56

F = 25

R = 99

O = 56

Explanation:

all triangles equal 180 degrees

that means that when you add angle F, O, + R, you will get 180

create the formula based on this info:

F + R + O = 180

x - 31 + x + 43 + x = 180

solve:

-31+43+x+x+x = 180

12 + 3x = 180

3x = 168

x = 56

now plug in x and find each angle

F = x - 31

F = 56 - 31

F = 25

R = x + 43

R = 56 + 43

R = 99

O = x

O = 56

Answer 2

X =56

Explanation:

Total angles of a triangle = 180

Since it's the total, we add these three angles

`(x - 31) + (x) + (x + 43) = 180`

Next, we combine like terms

`3x + 12 = 180`

Next, you can subtract 12 from both sides to get numbers on one side

`3x = 168`

Last step is to divide by 3 to get the X alone

`x = 56`