What is the sum of angles in a triangle (2024)

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#### Solution By Steps***Step 1: Understanding the Geometry*** In Euclidean geometry, the sum of the internal angles of a triangle is always 180 degrees.#### Final AnswerThe sum of angles in a triangle is 180 degrees.

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4 Which of the following statements are true about triangles The sum of internal angles in a right triangle always adds up to 270 degrees A right triangle has an internal angle of 90 degrees The sum of the internal angles of a triangle always equals 90 degrees An equilateral triangle has all internal angles equal to 60 degreesAnswered step-by-step 1 answer qquad 1 An oblique triangle is a triangle which does not contain a right angle it contains A either three acute angles (acute triangle) B two acute angles and one obtuse angle (obtuse triangle) C Both A and B D Either A or B qquad 2 If two of the angles of an oblique triangle are known the third angle can be computed This is based on the definition that the sum of the interior angles in a triangle is A 90 B 180 C 360 D 540 3 The Law of Sines is used to solve different cases of oblique triangies Which condition below cannot be solved by applying Law of Sines A two angles and the included side B two sides and angle opposite one of them C two angles and a side opposite one of them D two sides and an included angle are known -4 With respect to the given angle what is the ratio of the opposite side to the hypotenuse A sine B cosine C tangent D cosecant 5 If you are given ASA what law will you use to find the remaining sides A Law of Sines B Law of Cosines C Law of Tangent D Law of MathAnswered step-by-step 1 answerPart 1/2 On 1 whole sheet of paper please Copy and Answer Directions Read and answer each of the questions carefully 1 Name the exterior angle of POT Refer to Figure 1 2 In Triangle Inequality Theorem describe the relationship of the sum of its two sides length to its third length 3 Name the shortest side of GOD Refer to Figure 2 4 What triangle inequality theorem states that If two sides of one triangle are congruent to two sides of another triangle but the third side of the first triangle is longer than the third side of the second then the included angle of the first triangle is larger than the included angle of the second 5 What is the range of the length of the 3rd side of a triangle if the measure of the two sides is 5 and 10 6 In Figure 3 find the mABD 7 Find the mDBC Refer to Figure 3 8 Identify the symbol that needs to be used to show the relationship of two triangles side BC side YZ Refer to Figure 4 9 What theorem states that base angles of isosceles triangles are congruent 10 What property of equality is defined by the statement For all real numbers = 11 With the use of the Converse of the Hinge Theorem If side MA side BO side MN side BY and what is the conclusion about the sides and angles of and Refer to Figure 5 Conclusion 12 Arrange the names of angles of CEA in ascending order Refer to Figure 6 13 Based on Figure 6 Name the smallest angle For items 14 18 refer to Figure 7 a b and e is a transversal line 14 Give one pair of alternate interior angles 15 Give one pair of alternate exterior angles 16 If 6 = 65 what is the measure of 2 17 What could be the reason to prove that 5 8 18 Give one pair of angles that justify by the reason same side interior angles are supplementary 19 The symbol used to indicate parallelism is 20 Lines that intersect to form right angles are said to be Answered step-by-step 1 answer Bookwork code 4G allowed In a 14-sided polygon what is the sum of a) the interior angles b) the exterior anglesAnswered step-by-step 2 answers What is the value of x if the sum of the measures of the angles in a triangle is 180 degreesAnswered step-by-step 1 answer

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What is the sum of angles in a triangle (2024)
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