Answer: Fourth option is correct.
Step-by-step explanation:
Since we have given that
∠ W = (2x-13)°
∠Y = x°
exterior ∠X = 122°
We know that "Sum of interior angles is equal to exterior angles":
[tex]\angle W+\angle Y=122^\circ\\\\2x-13+x=122^\circ\\\\3x-13=122^\circ\\\\3x=122+13\\\\3x=135^\circ\\\\x=\dfrac{135}{3}\\\\x=45^\circ[/tex]
So, the measure of angle W is given by
[tex]2x-13\\\\=2\times 45-13\\\\=90-13\\\\=77^\circ[/tex]
Hence, Fourth option is correct.
