The problem asks us to find the size of angle $n$. The given diagram shows that angle $n$ and an angle of $36^{\circ}$ together form a straight line, which is $180^{\circ}$.

GeometryAnglesStraight LinesAngle Calculation
2025/5/17

1. Problem Description

The problem asks us to find the size of angle nn. The given diagram shows that angle nn and an angle of 3636^{\circ} together form a straight line, which is 180180^{\circ}.

2. Solution Steps

A straight line forms an angle of 180180^{\circ}. Therefore, the sum of angle nn and the 3636^{\circ} angle is 180180^{\circ}.
We can write this as an equation:
n+36=180n + 36^{\circ} = 180^{\circ}.
To find the value of nn, we subtract 3636^{\circ} from both sides of the equation:
n=18036n = 180^{\circ} - 36^{\circ}.
n=144n = 144^{\circ}.

3. Final Answer

The size of angle nn is 144144^{\circ}.

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