CA-266 Chapter 10- Geometry SECTION 10.1 CLASS ACTIVITY 10-H Angle Problems CCSS CCSS SMPI In some (but not all) of these problems, it will be helpful to add or to extend one or more lines or line segments. 1. Determine a formula for angle x in terms of angles a and b. Explain why your for- mula is valid (without measuring any angles). 2. Given that the lines marked with arrows are parallel, determine the sum of the angles a+b+c+d. Explain why your answer is valid (without measuring any angles). See if you can find more than one explanation! 3. Determine the sum of the angles, a + b + c + d + e. Explain why your answer is valid (without measuring any angles). See if you can find two explanations! 4. In part 3, what if the shape had N angles instead of 5 angles? Find a formula for the sum of the angles in terms of N and explain your reasoning.

CA-266 Chapter 10- Geometry SECTION 10.1 CLASS ACTIVITY 10-H Angle Problems CCSS CCSS SMPI In some (but not all) of these problems, it will be helpful to add or to extend one or more lines or line segments. 1. Determine a formula for angle x in terms of angles a and b. Explain why your for- mula is valid (without measuring any angles). 2. Given that the lines marked with arrows are parallel, determine the sum of the angles a+b+c+d. Explain why your answer is valid (without measuring any angles). See if you can find more than one explanation! 3. Determine the sum of the angles, a + b + c + d + e. Explain why your answer is valid (without measuring any angles). See if you can find two explanations! 4. In part 3, what if the shape had N angles instead of 5 angles? Find a formula for the sum of the angles in terms of N and explain your reasoning.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter4: Quadrilaterals

Section4.4: The Trapezoid

Problem 24E: The state of Nevada approximates the shape of a trapezoid with these dimensions for boundaries: 340...

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