The measure of the angles of a triangle are in AP. If the difference between two angles is 20°, then the measures of the angles are
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let the angles are x, y, and z
since they are in AP... therefore common difference exists so...
z-y=y-x=20
z=y+20;
y=y;
x=y-20;
now angle sum property of triangles....
x+y+z=180;
so
y+20+y+y-20=180
3y=180...
y=60
thus angles are 40 60 and 80....or
50,, 60 and 70 since its not specified which 2 angles difference is 20
since they are in AP... therefore common difference exists so...
z-y=y-x=20
z=y+20;
y=y;
x=y-20;
now angle sum property of triangles....
x+y+z=180;
so
y+20+y+y-20=180
3y=180...
y=60
thus angles are 40 60 and 80....or
50,, 60 and 70 since its not specified which 2 angles difference is 20
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