B 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.
B 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.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.2: Angles And Parallel Lines
Problem 15E
Related questions
Question
Transcribed Image Text:B
C
What type of special angle pair are angles ACB and BCD? What will be the sum of the measures of the two angles?
If the measure of angle ACB is 50 degrees, how can you find the measure of angle BCD? Explain and find the measure.
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.
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?
Fill in the blanks: In the diagram above, the sum of the measures of angle
and angle
is equal to the measure of angle
e of
In this diagram, angle BCD is an "exterior angle" of triangle ABC. Explain why the statement from question 5 above will be true
for any exterior angle diagram like this (Hint: You used two properties that both invalved 180 degrees or supplementary angles).:
6.
Angles A and B are called the "remote interior angles" for triangle ABC, because they are the two angles of the triangle that 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 :
to use the terms "sum, remote interior angles, and exterior angle."
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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