Explanation Given: Triangle has two obtuse exterior angles. Approach: Draw triangle that satisfies the conditions stated. Check the two angles are obtuse exterior angles. Calculation: Consider, A triangle is shown below Exterior angle at point A =180-obtuse angle Exterior angle at point A =180 - interior angle An angle is obtuse if its lies between 90 and 180 degrees. In this figure the interior angle of the triangle is two acute angles and an obtuse angle. So, the exterior angle is with two obtuse angles. Therefore, the triangle satisfies the above condition.

McDougal Littell Jurgensen Geometry: Student Edition Geometry

5th Edition

ISBN: 9780395977279

Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Publisher: Houghton Mifflin Company College Division

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Question

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Chapter 3.4, Problem 4WE

To determine

To find: a triangle with two obtuse exterior angles.

Expert Solution & Answer

Explanation of Solution

Given:

Triangle has two obtuse exterior angles.

Approach:

Draw triangle that satisfies the conditions stated.
Check the two angles are obtuse exterior angles.

Calculation:

Consider,

A triangle is shown below

Exterior angle at point A =180-obtuse angle

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 3.4, Problem 4WE

Exterior angle at point A =180 - interior angle

An angle is obtuse if its lies between 90 and 180 degrees.

In this figure the interior angle of the triangle is two acute angles and an obtuse angle.

So, the exterior angle is with two obtuse angles.

Therefore, the triangle satisfies the above condition.

Chapter 3.4, Problem 3WE

Chapter 3.4, Problem 5WE

Chapter 3 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

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Ch. 3.1 - Prob. 11CE Ch. 3.1 - Prob. 12CE Ch. 3.1 - Prob. 13CE Ch. 3.1 - Prob. 14CE Ch. 3.1 - Prob. 15CE Ch. 3.1 - Prob. 16CE Ch. 3.1 - Prob. 17CE Ch. 3.1 - Prob. 18CE Ch. 3.1 - Prob. 19CE Ch. 3.1 - Prob. 1WE Ch. 3.1 - Prob. 2WE Ch. 3.1 - Prob. 3WE Ch. 3.1 - Prob. 4WE Ch. 3.1 - Prob. 5WE Ch. 3.1 - Prob. 6WE Ch. 3.1 - Prob. 7WE Ch. 3.1 - Prob. 8WE Ch. 3.1 - Prob. 9WE Ch. 3.1 - Prob. 10WE Ch. 3.1 - Prob. 11WE Ch. 3.1 - Prob. 12WE Ch. 3.1 - Prob. 13WE Ch. 3.1 - Prob. 14WE Ch. 3.1 - Prob. 15WE Ch. 3.1 - Prob. 16WE Ch. 3.1 - Prob. 17WE Ch. 3.1 - Prob. 18WE Ch. 3.1 - Prob. 19WE Ch. 3.1 - Prob. 20WE Ch. 3.1 - Prob. 21WE Ch. 3.1 - Prob. 22WE Ch. 3.1 - Prob. 23WE Ch. 3.1 - Prob. 24WE Ch. 3.1 - Prob. 25WE Ch. 3.1 - Prob. 26WE Ch. 3.1 - Prob. 27WE Ch. 3.1 - Prob. 28WE Ch. 3.1 - Prob. 29WE Ch. 3.1 - Prob. 30WE Ch. 3.1 - Prob. 31WE Ch. 3.1 - Prob. 32WE Ch. 3.1 - Prob. 33WE Ch. 3.1 - Prob. 34WE Ch. 3.1 - Prob. 35WE Ch. 3.1 - Prob. 36WE Ch. 3.1 - Prob. 37WE Ch. 3.1 - Prob. 38WE Ch. 3.1 - Prob. 39WE Ch. 3.1 - 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a triangle with two obtuse exterior angles .

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To find: a triangle with two obtuse exterior angles.

Explanation of Solution

Chapter 3 Solutions

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