Question

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1. The map below shows a rotary intersection. The angle formed by Central Ave West and Airport Road is 148°and is bisected by Main Street North. The angle
formed by Airport Road and Main Street South is 136° and is bisected by Central Ave East.
Main Street North
Find the measure of Angle formed by main street north and central ave east

Answer 1

An angle bisector divides an angle into two equal parts.

The angle formed by main street north and central ave east is 142 °

Since,  The Main street north is angle bisector of The angle formed by Central Ave West and Airport Road

So, angle between central ave west and main street north and angle between Airport road and main street north will be equal , both of 74 degree.

Since,  The Central Ave East. is angle bisector of The angle formed by Airport Road and Main Street South

So, angle between central ave east and Airport road and angle between central ave east and main street south will be equal , both of 68 degree.

And Angle formed by main street north and central ave east is combination of angle between Main Street North and Airport Road and angle between central ave east and Airport Road.

                                        = 68 + 74 = 142 °

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