1. Two adjacent angles of a parallelogram are in the ratio 4:5, then find the measurement of smallest angle?
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small est angle is 160°
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SOLUTION
We know that sum of angles on the same side of the transversal is 180°
Let the ratio be x
=) 4x +5x= 180°
=) 9x= 180°
=) x= 180°/9
=)x= 20°
1st ratio= 4x = 4×20 = 80°
2nd ratio= 5x= 5×20°= 100
Smallest angle = 80°
hope it helps ☺️
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