Question

HELP Find the value of x in each case. Picture down below

Answer 1

Angle F and G are Colinear pairs

• <F=180-147=33°

Now we know

Sum of two interior angles=Exterior angle

`\\ \sf\longmapsto 33+x=4x`

`\\ \sf\longmapsto 4x-x=33`

`\\ \sf\longmapsto 3x=33`

`\\ \sf\longmapsto x=(33)/(3)`

`\\ \sf\longmapsto x=11`

Answer 2

• 11

Explanation:

Use the triangle in the middle. It has interior angles:

• F = 180 - 147 = 33
• E = 180 - 4x
• x

Use the sum of the three interior angles and find the value of x:

• 33 + 180 - 4x + x = 180
• 33 - 3x = 0
• 3x = 33
• x = 11