The value of ∠RNA = ∠ENV = 132°.
Given to us,
∠RNA = (8x+12)°
∠ENV = (5x+57)°
As we know that when two straight lines intersect at a point the angles opposite to each other are equal. this pair of angels is known as the vertical opposite angle.
Therefore,
∠RNA = ∠ENV,
(8x+12)° = (5x+57)°
(8x+12) = (5x+57)
8x + 12 = 5x + 57
8x - 5x = 57 - 12
3x = 45
x = 15
As, the value of x is 15, substituting the values, we get,
∠RNA = (8x+12)° = [8(15) + 12] = 120 + 12 = 132°
Hence, the value of ∠RNA = ∠ENV = 132°.
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