The problem asks us to find the size of angle $n$. We are given a diagram with a straight line and another line intersecting it. The angle between these two lines is $28^{\circ}$. The angle $n$ is the remaining angle forming a semicircle with the $28^{\circ}$ angle.

GeometryAnglesLinear PairsSupplementary Angles
2025/5/5

1. Problem Description

The problem asks us to find the size of angle nn. We are given a diagram with a straight line and another line intersecting it. The angle between these two lines is 2828^{\circ}. The angle nn is the remaining angle forming a semicircle with the 2828^{\circ} angle.

2. Solution Steps

A semicircle has an angle of 180180^{\circ}. The angle nn and the given 2828^{\circ} angle add up to form the semicircle. Therefore, we can write the equation:
n+28=180n + 28^{\circ} = 180^{\circ}
To solve for nn, we subtract 2828^{\circ} from both sides of the equation:
n=18028n = 180^{\circ} - 28^{\circ}
n=152n = 152^{\circ}

3. Final Answer

The size of angle nn is 152152^{\circ}.

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