1.

In Fig, POS is a line, find x.

Answer»

From the figure we can write as angles of a straight line,

∠QOP + ∠QOR + ∠ROS = 180°

60° + 4x + 40° = 180°

On rearranging we get, 100° + 4x = 180°

4x = 180° – 100°

4x = 80°

x = 80°/4

x = 20°



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