A tree casts a shadow that is 7 feet long. A person nearby casts a shadow that is 3.5 feet long. The person is
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m∠M=28°
Step-by-step explanation:
In the given figure we can see that the exterior angle at P is 48°.
From the axiom that when a line intersect other line, the angles formed have a sum of 180°
So the interior angle at P will be: 180°-48° = 132°
Now let
m∠P = 132°
m∠M = (3y+1)°
m∠N= (2y+2)°
As the sum of internal angles of triangle is 180°
So,
Subtracting 135 from both sides
Dividing both sides by 5
So,
m∠M = 3y+1 = 3(9)+1 = 27+1 = 28°
Hence,
m∠M=28°
Keywords: Triangle, Geometry
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