Answer
Find out the measure of ∠4.
To prove
As given
The measure of ∠2=8x+10 and the measure of ∠4=42+6x .
Now as shown in the diagram
∠ 2 = ∠ 4
( By using the property of vertically opposite angle)
Thus
8x + 10 = 42 + 6x
2x = 32
[tex]x = \frac{32}{2}[/tex]
x = 16
Put value of x in
∠4 = 42+6x.
∠4 = 42 + 6 × 16
∠4 = 42 + 96
∠4 = 138°
Therefore ∠4 =∠2= 138°
Hence proved
