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Lelechka [254]
3 years ago
14

Please Help! The following is an isosceles trapezoid, find m < J

Mathematics
1 answer:
ra1l [238]3 years ago
3 0

Answer:

<em>The measure of angle J is 44°</em>

Step-by-step explanation:

<u>Isosceles Trapezoid</u>

The isosceles trapezoid has its non-parallel sides of the same length, thus the angles they form with their respective parallel sides are congruent.

It means: Angle J is congruent with angle K and angle M is congruent with angle L

The sum of angles in a trapezoid is 180*(4-2)=360°

Thus:

m\angle J+m\angle K+m \angle M+m\angle L = 360^\circ

7x+2+7x+2+25x-14+25x-14=360

Joining like terms:

64x-24=360

Adding 24:

64x=384

Dividing by 64:

x=6°

Thus:

m\angle J = 7*6+2=44^\circ

m\angle M = 25*6-14=136^\circ

The measure of angle J is 44°

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3 years ago
to estimate the height of the jin mao tower in shanghai , a tourist sights the top of the tower form a mirror that is 86.7 meter
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Answer:

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Step-by-step explanation:

For better understanding of the solution, see the figure attached below :

Let the height of the tower be x meters

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Also, both the tower and the tourist are standing parallel to each other

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Similarly, ∠D = ∠r ( Alternate interior angles)

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Also, the tourist and the tower is perpendicular to the ground surface.

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Hence, The height of the tower = 420.48 meters

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