Lesson 15
Adding the Angles in a Triangle
Problem 1
In triangle \(ABC\), the measure of angle \(A\) is \(40^\circ\).
- Give possible measures for angles \(B\) and \(C\) if triangle \(ABC\) is isosceles.
- Give possible measures for angles \(B\) and \(C\) if triangle \(ABC\) is right.
Solution
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Problem 2
For each set of angles, decide if there is a triangle whose angles have these measures in degrees:
- 60, 60, 60
- 90, 90, 45
- 30, 40, 50
- 90, 45, 45
- 120, 30, 30
If you get stuck, consider making a line segment. Then use a protractor to measure angles with the first two angle measures.
Solution
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Problem 3
Angle \(A\) in triangle \(ABC\) is obtuse. Can angle \(B\) or angle \(C\) be obtuse? Explain your reasoning.
Solution
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Problem 4
For each pair of polygons, describe the transformation that could be applied to Polygon A to get Polygon B.
Solution
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(From Unit 1, Lesson 3.)Problem 5
On the grid, draw a scaled copy of quadrilateral \(ABCD\) using a scale factor of \(\frac12\).
![A quadrilateral on a grid.](https://cms-im.s3.amazonaws.com/zAJDbs9KucK5TbTDFyf9tA26?response-content-disposition=inline%3B%20filename%3D%228-8.1.PP.7Grev1.png%22%3B%20filename%2A%3DUTF-8%27%278-8.1.PP.7Grev1.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T172523Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=12b28b1e77058de90a239b6ea4abb6e03b44321e3fe3a30e78b98bc7d48d5afe)
Solution
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(From Unit 1, Lesson 14.)