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e-lub [12.9K]
3 years ago
6

two right triangles share a common side and have equal areas. the hypotenuse of the light green triangle is one of the legs of d

ark green triangle stacked on top of it. if the smallest angle of light green triangle is 18 degrees, what are the angles of the dark green triangle?
Mathematics
1 answer:
Alexandra [31]3 years ago
5 0

Answer:

the two angles of dark green triangle are 90 degrees, 72 degrees and 18 degrees.

Step-by-step explanation:

As dark green triangle is stacked on top of light green triangle and one side of dark green is sharing hypotenuse of light green, considering both have same area, mean same 1/2 base* height ,also one leg of both is same so its obvious that both heights and bases of triangles are same. Considering all the above facts both triangles are forming a square with common side as diagonal of square.

So, the angles of light green triangle are 90 , 18 and (180-90-18)=72 degrees

One angle of dark green is already 90 degrees , the other two combined with light green form 90 degrees (as both are side angles of square).

90-18=72

90-72=18

Hence the three angles of dark green triangle are 90,72 and 18.

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M ∠E = 60° and m ∠G = 85° what is m ∠L?<br><br> A: 180°<br> B: 45°<br> C: 35°<br> D: 85°
Viefleur [7K]

Answer:

The answer is C: 35°

Step-by-step explanation:

The sum of all angles in a triangle is 180°

So, 180°-(60°+85°)

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m∠L = 35°


Hope it helps!

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Answer:

A.

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