To solve this problem, we have to use the interior angles theorem which states that the sum of all three interior angles of a triangle must sum 180°.
Having said that, we express the following.
[tex]75+x+2x=180[/tex]
Now, we solve for x.
[tex]\begin{gathered} 75+3x=180 \\ 3x=180-75 \\ 3x=105 \\ x=\frac{105}{3} \\ x=35 \end{gathered}[/tex]
Then, we use this value to find the angle T.
[tex]m\angle T=2x=2(35)=70[/tex]
Therefore, the angle T is equal to 70°.
