Question

Help me at least understand plz

Answer 1

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

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!