Question

using the diagram above find the value of x and use it to find the measures of all the missing angles

Answer 1

PROBLEM:

Remember that the sum of Opposite Interior Angles = Exterior Angle

then we have the following equation:

2x-48=x+32

solve for x:

2x - x = 32 + 48

this is equivalent to:

x = 32 + 48 =80

then we can conclude that x = 80

THEN:

1. angle FOW = x = 80 = angle OLW

2. angle FLW = 2x-48 = 2(80) - 48 = 112