Question

in the figure below, m∠stw = 142° and m∠2 = 78°. find m∠1.

Explanation:

Step1: Identify angle - sum relationship

We know that $m\angle STW=m\angle1 + m\angle2$.

Step2: Solve for $m\angle1$

Rearrange the equation to $m\angle1=m\angle STW - m\angle2$.
Substitute $m\angle STW = 142^{\circ}$ and $m\angle2 = 78^{\circ}$ into the equation: $m\angle1=142 - 78$.
$m\angle1 = 64^{\circ}$

Answer:

$64$