The exterior angle theorem says that an exterior angle of a triangle is equal to the sum of the 2 non adjacent interior angles. Worksheet triangle sum and exterior angle theorem name.
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U v 65 3 u y 50 70.
Triangle exterior angle theorem worksheet. The exterior angle theorem date period find the measure of each angle indicated. F 86 8 q p g 35 95. Triangle angle sum the exterior angle theorem triangles and congruence sss and sas congruence asa and aas congruence sss sas asa and aas congruences combined.
Microsoft word worksheet triangle sum and exterior angle doc author. Simply add the two non adjacent angles and you have found the measure of the exterior angle. You can choose a single variable or an algebraic expression for the unknown angle.
T 30 7 g t e 28 58. 4 9 require algebra to solve for x. The following diagram shows the exterior angle theorem.
21 1 22 2 23 3 24 4 25 5 26 6. All worksheets created. Let s try two fairly basic examples and then try a few tougher ones.
Taking our above example acd would equal whatever a b equaled because those are the two angles not connected to the exterior angle. Printable in convenient pdf format. 1 3 are simply numeric.
10 15 require algebra for first solve for x and then find the missing angle measure. Free geometry worksheets created with infinite geometry. S t 105 5 d c t 140 45.
In this activity students will use the triangle exterior angle theorem to solve problems. R 130 solve. Find the measure of each angle.
Triangle angle sum theorem triangle exterior angle theorem objectives state the triangle angle sum theorem and solve for an unknown angle in a triangle classify triangles based on measures of angles as well sides state the triangle exterior angle theorem and solve for an unknown exterior angle of a triangle triangle angle sum theorem the. 50 u t 70 2 t p 115 50. An exterior angle of a triangle is formed by any side of a triangle and the extension of its adjacent side.
The measurements of the three interior angles are given. E 95 6 u s j 110 80. Test and worksheet generators for math teachers.
T s 120 4 r p 25 80. This worksheet is a great resource for the 5th 6th grade 7th grade and 8th grade. Angles in a triangle worksheets contain a multitude of pdfs to find the interior and exterior angles with measures offered as whole numbers and algebraic expressions.
The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two opposite interior angles. X x x 57 43 50 x 53 62 80 65 x 80 50 44 x title. Learn to apply the angle sum property and the exterior angle theorem solve for x to determine the indicated interior and exterior angles.
Exterior angles of a triangle worksheet 1 this angle worksheet features 12 different triangles all with one clearly identified exterior angle represented by x. 1 v r 120. The exterior angle theorem worksheets this triangle worksheet will produce exterior angle theorem problems.
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