Question

2. In Parallelogram TRIK, what is the mzt?

R
T
5x°
2(x + 30°
K
I
I

Answer 1

`T = 100`

Explanation:

See attachment for parallelogram TRIK

Given

`T = 5x`

`I = 2(x + 30)`

Required

Determine T

Because T and I are opposite angles of the parallelogram, then they are congruent.

i.e.

`T = I`

Substitute values for T and I

`5x = 2(x + 30)`

Open bracket

`5x = 2x + 60`

Collect Like Terms

`5x - 2x = 60`

`3x = 60`

Solve for x

`x = (60)/(3)`

`x =20`

Recall that:

`T = 5x`

`T = 5 * 20`

`T = 100`