Question

the measure of ∠tw v is 169°. find the measure of ∠tw u.

Explanation:

Step1: Observe angle relationship

$\angle TWU$ and $\angle VWU$ together form $\angle TWV$.

Step2: Use subtraction

$m\angle TWU=m\angle TWV - m\angle VWU$.
We know $m\angle TWV = 169^{\circ}$ and $m\angle VWU=75^{\circ}$. So $m\angle TWU=169 - 75$.

Step3: Calculate result

$m\angle TWU = 94^{\circ}$

Answer:

$94^{\circ}$