Answer:

<5 = 104.4

<4 = 75.6

Step-by-step explanation:

If <5 and <6 are vertical angles, then <5 and <4 are complementary angles

Complementary angles are angles that has a sum of 180 degrees altogether

<5= 6x

<4= 4x+6

So, <5 + <4 = 180°

---(6x) + (4x+6) = 180°

---10x + 6= 180°

---10x = 180 - 6

---10x = 174

---10x/10 = 174/10

---x = 17.4

Substitute:

<5= 6x

---6 (17.4)= 104.4

<4= 4x+6

---4 (17.4) + 6 = 75.6