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Copy the shape and fill in the missing angle. Sow the work. Thanks.

Copy the shape and fill in the missing angle. Sow the work. Thanks.-example-1
User Mariusz Schimke
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1 Answer

15 votes
15 votes

Answer:

The first triangle can be solved using the triangle sum theorem.

There is a vertical angle, so 75 is the angle at the bottom left. 45 is also a vertical angle. Now we have 75+45+x=180, where x is the missing angle. x is 60.

A straight line = 180 degrees, so 60+79+y, where y is unknown, is equal to 180. y is 41. Now use the triangle sum theorem for the triangle to the right. 41+68+z, where z is unknown, = 180. Z is 71.

Now the last part is to find the question mark. A straight line is 180 degrees, so 71+"?" is 180. Simplify to find that "?" is 109.

User Maxeh
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