Question

find the measure of angle 7

Explanation:

Step1: Identify supplementary angles

Angles $x+104$ and $5x+4$ are supplementary, so their sum is $180^\circ$.
$$(x+104) + (5x+4) = 180$$

Step2: Simplify and solve for $x$

Combine like terms and isolate $x$.
$$6x + 108 = 180$$
$$6x = 180 - 108$$
$$6x = 72$$
$$x = \frac{72}{6} = 12$$

Step3: Find angle $5x+4$

Substitute $x=12$ into the expression.
$$5(12) + 4 = 60 + 4 = 64^\circ$$

Step4: Relate to angle 7

Angle $5x+4$ and angle 7 are corresponding angles, so they are equal.

Answer:

$64^\circ$