Question

help me at least understand plz

Answer 1

Answer:

$\huge\boxed{42 \ \text{degrees}}$

Step-by-step explanation:

Let's look at this triangle.

━━━━━━━━━▼━━━━━━━━━

$\text{Key Realization:}$

we can see that the line intersecting the triangle has cut our triangle into two parts. Since this line is parallel to the bottom of the triangle, ∠2 and ∠1 are corresponding angles, meaning their measurements are the same.

━━━━━━━━━▲━━━━━━━━━

Since we know the measure of both, we can set both equal to each other.

$8y-6=7y$

Now we solve for y.

Subtract 8y from both sides:

$-6=-1y$

Divide both sides by -1:

$y=6$

Great! Now that we know y, we can substitute it into the equation for ∠2, $7y$

$7(6)\\42$

Hope this helped!