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in the diagram line segment GH bisects angle FGI Solve for x and find angle FGHfind the measure of angle HGIFind the measure of angle FGI

In The Diagram Line Segment GH Bisects Angle FGI Solve For X And Find Angle FGHfind The Measure Of Angle HGIFind The Measure Of Angle FGI class=

Sagot :

As the line segment GH bisects the angle FGI, we have two equal angles, angle FGH and angle IGH. Therefore, we have,

[tex]\begin{gathered} 4x-6=5x-13 \\ 5x-4x=13-6 \\ x=7 \end{gathered}[/tex]

Thus, we have x = 7. Now,

[tex]\begin{gathered} <\text{HGI}=5\times7-13=35-13=22 \\ <\text{FGH}=4\times7-6=28-6=22 \\ <\text{FGI = 22+22=44} \end{gathered}[/tex]

Thus, x = 7, < FGH = 22,

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