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tigry1 [53]
3 years ago
13

How to find parallelogram height with angles and side length

Mathematics
1 answer:
rodikova [14]3 years ago
6 0

Answer:

h = a * sin α

Step-by-step explanation:

The easiest answer is utilizing Law of Sines: a / Sin A = b / Sin B = c /Sin C

a and ∠α : known

∠AEB = 90°

a / Sin 90° = h / Sin α   .. Sin 90° = 1

h = a * sin α

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Answer:

The value of m\angle 3-m\angle 1 = 50^{\circ}

Step-by-step explanation:

Vertical Angle theorem: It is about the angles that are opposite to each other.

Also, vertical angle are congruent that means vertical angles are equal.

In the given figure; m\angle 3 and 70^{\circ} are vertical angle

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Supplementary angle: the sum of the angles whose measure on the straight line is 180 degree.

From the figure, 70^{\circ} , \angle 1 and m\angle 2 =90^{\circ} forms a straight line.

then, by the definition of Supplementary angle;

70^{\circ}+m\angle 1 +m\angle 2=180^{\circ}

Substituting the value of  m\angle 2 =90^{\circ} in above equation:

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160^{\circ}+m\angle 1=180^{\circ}

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