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