Question

What is this answer??

Answer 1

`20^(\circ)`

Explanation:

We can see here that the two unknown angles are on the straight line . So its measure will be 180° .

`\implies (4x + 20^(\circ))+(x-15^(\circ)) = 180^(\circ) \\\\\implies 5x + 5^(\circ) = 180^(\circ) \\\\\implies 5x = 175^(\circ) \\\\\implies x =(175^(\circ))/(5)\\\\\implies x = 35^(\circ)`

Now the angle F and the angle (x-15)° are vertically opposite angles . So they will be equal .

`\implies x - 15^(\circ) \\\\\implies 35^(\circ) - 15^(\circ) \\\\\implies \boxed{ 20^(\circ) }`