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Degger [83]
3 years ago
5

How would i find h please help!!

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
8 0

Answer:

35

Step-by-step explanation:

So the triangle who posses the angle with measurement k=35 is an isosceles.  I know this because there are two congruent legs.  Those 2 congruent legs tell us the angles opposite of them are all congruent.

So we know one equation to solve is:

x+x+35=180 where x is the base angle in the left triangle picture.

Combine like terms:

2x+35=180

Subtract 35 on both sides:

2x=180-35

Simplify:

2x=145

Divide both sides by 2:

x=72.5

So one of the base angles of the left isosceles triangle is vertical with with another angle in the right.  This triangle on the right is also isosceles.

So we know that 72.5+72.5+h=180.

Combine like terms:

145+h=180

Subtract 145 on both sides:

h=180-145

Simplify:

h=35

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Answer:

Starting from the one on the left.

Upper left:

145 degrees

Down left:

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Down right:

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-------------

Now for the right image.

Upper left:

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Down left:

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Down right:

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Step-by-step explanation:

Apply the same steps for the second image as for the first.

One thing to keep in mind is that a flat line (horizontal or vertical), as an angle of 180 degrees.

And another useful reminder is that opposed angles have the same degree.

Starting from the one on the left.

Upper left:

180 - 35 = 145 degree

Down left:

since it is opposed to the upper right angle which is 35 degrees this one is also equal to 35 degrees.

Down right:

since it is opposed to the upper left angle which is 145 degrees this one is also equal to 145 degrees.

You can always double check by making sure one flat side (left or right or up or down), is equal to 180 degrees.

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