Answer:
[tex]T = 100[/tex]
Step-by-step explanation:
See attachment for parallelogram TRIK
Given
[tex]T = 5x[/tex]
[tex]I = 2(x + 30)[/tex]
Required
Determine T
Because T and I are opposite angles of the parallelogram, then they are congruent.
i.e.
[tex]T = I[/tex]
Substitute values for T and I
[tex]5x = 2(x + 30)[/tex]
Open bracket
[tex]5x = 2x + 60[/tex]
Collect Like Terms
[tex]5x - 2x = 60[/tex]
[tex]3x = 60[/tex]
Solve for x
[tex]x = \frac{60}{3}[/tex]
[tex]x =20[/tex]
Recall that:
[tex]T = 5x[/tex]
[tex]T = 5 * 20[/tex]
[tex]T = 100[/tex]
