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Westkost [7]
3 years ago
15

If triangle ABC is similar to triangle EHG, find the measure of angle EHG.

Mathematics
2 answers:
Ksju [112]3 years ago
3 0

<u>First we need to find all the interior angles.  So we know that the inside of a triangle (all the angles added up) equals 180. So we need to equal all the inside angles to 180. </u>

2x + x + 60 = 180

<u>Now lets start to solve. First let's subtract the 60 from both sides. </u>

2x + x = 120

<u>Now we need to add the x's together. </u>

3x = 120

<u>Now we must divide the 120 by 3 to get x by itself. </u>

x = 40

<u>Now just replace the x with 40 to find each of the sides. I'm guessing the triangles are reflecting each other so </u><em><u><EHG would be equal to 80. </u></em>

<u>ALSO to check if 40 would be correct, add all the angles together in the same triangle and they SHOULD add up to be 180! Which they do! </u>

Amiraneli [1.4K]3 years ago
3 0

Step-by-step explanation:

Firstly let's calculate the unknown angles in triangle ABC

2x + x + 60° = 180° { being sum of angles of triangle }

3x = 180° - 60°

3x = 120°

x = 120° / 3

x = 40°

2x = 2 * 40° = 80°

Now since it is said that triangle ABC and triangle EHG are similar so

< EHG = < ABC = 2x = 80°

Hope it will help :)

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