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Please help me I have been working on this for 20 minutes

Please help me I have been working on this for 20 minutes-example-1
User Ellone
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1 Answer

7 votes

Answer:

First Figure:

Do you see the right triangle in the first figure? It is bisected by the angle x° and 68°. Since all right triangles add to 90°, this makes x° = 90° - 68°.

E.) x° = 90° - 68° -----> x° = 22°

Do you see how you now know the values of 3 out of 4 angles on the straight line? Since all lines add to 180°, the value of y° = 180° - 90° - 22°. Remember, the entire angle value for all right triangles is 90°.

H.) y° = 180° - 90° - 22° -----> y° = 68°

Second Figure:

A similar process can be taken for the second figure.

T.) x° = 180° - 90° - 74° -----> x° = 16°

E.) y = 90° - 50° -----> y° = 40°

Third Figure:

Again, remember that right triangles = 90° and lines = 180°.

C.) w° = 180° - 90° - 31° -----> w° = 59°

R.) x° = 90° - 28° -----> x° = 62°

H.) y° = 180° - w° -----> y° = 180° - 59° -----> y° = 121°

User Julient
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