Answer:
Point T is the right angle of the triangle, so RTS = 90 degrees
8x + 18 = 90 (degrees)
8x = 72
x = 9 degrees
Step-by-step explanation:
If [tex]\angle RTS = 8x + 18[/tex] and line [tex]TR[/tex] is perpendicular to line [tex]TS[/tex], then [tex]x[/tex] will be [tex]9^0[/tex].
A line is said to be perpendicular to another line if the two lines intersect at a right angle i.e. make [tex]90^0[/tex] angle with that line.
We have,
[tex]\triangle RTS[/tex] in which,
[tex]\angle RTS=8x+18[/tex]
Also it is mentioned that [tex]TR \perp TS[/tex] i.e.
[tex]\angle RTS=90^0[/tex]
So, compare values of [tex]\angle RTS[/tex],
We get,
[tex]8x+18=90[/tex]
[tex]8x=72[/tex]
[tex]x=9^0[/tex]
Hence, we can say that If [tex]\angle RTS = 8x + 18[/tex] and line [tex]TR[/tex] is perpendicular to line [tex]TS[/tex], then [tex]x[/tex] will be [tex]9^0[/tex].
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