Answered

IDNLearn.com connects you with experts who provide accurate and reliable answers. Our platform offers comprehensive and accurate responses to help you make informed decisions on any topic.

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,

We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.