Question

I've done with my quiz, now I have to do the correction for extra point, bit my teacher required to explain how to solve it correctly, but I don't know how. Please help me

Answer 1

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.

$75+x+2x=180$

Now, we solve for x.

$\begin{gathered} 75+3x=180 \\ 3x=180-75 \\ 3x=105 \\ x=\frac{105}{3} \\ x=35 \end{gathered}$

Then, we use this value to find the angle T.

$m\angle T=2x=2(35)=70$

Therefore, the angle T is equal to 70°.