2 answers:
Answer:
n = 23°
Step-by-step 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 :)
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!
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