Question

I am trying to find the measure of angle T

Answer 1

m∠T= 45°

Explanation:

In a parallelogram, consecutive (or adjacent) angles add up to 180 degrees.

In parallelogram MNTU, angles T and U are consecutive angles, therefore:

`\begin{gathered} m\angle T+m\angle U=180\degree \\ \implies(2x-9)+5x=180\degree \end{gathered}`

First, solve the equation for x:

Therefore:

`\begin{gathered} m\angle T=2x-9 \\ =2(27)-9 \\ =54-9 \\ =45\degree \end{gathered}`

The measure of angle T is 45 degrees.