∠5 = 118
Explanation:
If you look closely at this image, you can see that ∠6 and ∠5 together will be equal to line c.
A straight line is equal to 180 so if we do...

= 118.
∠5 will be equal to 118.
If we go even further, because vertical angles are congruent...
∠7 = 62
∠8 = 118