We are asked to find the size of angle $r$. We are given two angles: $47^\circ$ and $16^\circ$.

GeometryAnglesVertical AnglesAngle Sum
2025/4/22

1. Problem Description

We are asked to find the size of angle rr. We are given two angles: 4747^\circ and 1616^\circ.

2. Solution Steps

The angles 4747^\circ and 1616^\circ are adjacent angles.
The sum of the adjacent angles which are vertically opposite to rr, is equal to 47+1647^\circ + 16^\circ.
The vertical angles are congruent, that is, they have the same measure.
So, the angle vertically opposite to rr is equal to 47+1647^\circ + 16^\circ.
Therefore, the angle rr is vertically opposite to an angle that measures 47+1647^\circ + 16^\circ.
r=47+16r = 47^\circ + 16^\circ
r=63r = 63^\circ

3. Final Answer

The size of angle rr is 6363^\circ.

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