Exterior Angles Inquiry - Tayjaune Adams PDF

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really good insight on what you will be learning this year and I hope you have a good year...

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Inquiry Activity: Exterior Angles of a Triangle

Name: ________________________ Date: ____________ Class: ________

Use the diagram to answer the questions in complete sentences. B

A

1.

D C What type of special angle pair are angles ACB and BCD? What will be the sum of the measures of the two angles?

2.

If the measure of angle ACB is 50 degrees, how can you find the measure of angle BCD? Explain and find the measure.

3.

Using triangle sum theorem (The sum of the measures of the three interior angles of a triangle is equal to 180 degrees), describe how to find the measure of angle B if the measure of angle A is 88 degrees. Explain and find the measure.

4.

Find the sum of the measures of angles A and B. Do you notice that the measure is the same as another measure on your diagram? If so, which one?

5.

Fill in the blanks: In the diagram above, the sum of the measures of angle ____ and angle ____ is equal to the measure of angle ______.

6.

rue for any exterior angle diagram like this (Hint: You used two properties that both involved 180 degrees or supplementary angles).

7.

are not adjacent to the exterior angle. Write a rule for the measures of the angles for any triangle with an exterior angle. Be sure

8.

If you were given the measures of angle A and angle B instead of the information we were originally given above, could you still find the measure of the exterior angle? Explain how. What about the measure of angle ACB? Explain how.

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