Question

1. find ( mangle t ).

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(20x + 9=8x + 5+64\).

Step2: Solve the equation for \(x\)

$$
LATEXBLOCK0
$$

Step3: Find \(m\angle T\)

Substitute \(x = 5\) into the expression for \(\angle T\). Since \(m\angle T=8x + 5\), then \(m\angle T=8\times5+5=40 + 5=45\)

Answer:

\(m\angle T = 45^{\circ}\)