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

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Question:

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

Answers

Answer:11Step-by-step explanation:Use the triangle in the middle. It has interior angles:F = 180 - 147 = 33E = 180 - 4xxUse the sum of the three interior angles and find the value of x:33 + 180 - 4x + x = 18033 - 3x = 03x = 33x = 11

Angle F and G are Colinear pairs <F=180-147=33°Now we know Sum of two interior angles=Exterior angle[tex]\\ \sf\longmapsto 33+x=4x[/tex][tex]\\ \sf\longmapsto 4x-x=33[/tex][tex]\\ \sf\longmapsto 3x=33[/tex][tex]\\ \sf\longmapsto x=\dfrac{33}{3}[/tex][tex]\\ \sf\longmapsto x=11[/tex]

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