Math  /  Geometry

Question```latex In a triangle, there is an exterior angle at vertex y+45 y+45^\circ . The interior angles of the triangle are y y , x x , and x21 x-21^\circ . The angle x21 x-21^\circ is adjacent to the exterior angle y+45 y+45^\circ . Find the measures of angles x x and y y . ```

Studdy Solution
Simplify and solve for y y :
45+24+y=180 45^\circ + 24^\circ + y = 180^\circ 69+y=180 69^\circ + y = 180^\circ y=111 y = 111^\circ
The measures of angles x x and y y are:
x=45 x = 45^\circ y=111 y = 111^\circ

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