Question

What is the value of n?

Answer 1

n = 23.

The two angles, PRM and QRN, are vertically opposite, which means that they must be the same size. This means we can form an equation to solve for n:

35 = 2n - 11

+11

46 = 2n

÷ 2

23 = n

I hope this helps!

Answer 2

n = 23°

Explanation:

Angles that form an "x" shape are called vertical angles.

In this case, ∠MRP and ∠ QRN are vertical angles.

Vertical angles are always equal.

Therefore, m∠MRP = m∠QRN

Substitute

m∠MRP = m∠QRN

35° = 2n - 11°

Add 11° to both sides of this equation

46° = 2n

Divide both sides of the equation by 2

23° = n

n = 23°

Hope this helps :)