State the triangle exterior angle theorem and solve for an unknown exterior angle of a triangle triangle angle sum theorem the sum of the measures of the angles of a triangle is 180. Scroll down the page for more examples and solutions using the exterior angle theorem to solve problems.
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Learn the exterior angle theorem and to find unknown angles the following diagram shows the exterior angle theorem formula.
Exterior angle theorem worksheet. Worksheet triangle sum and exterior angle theorem name. Find the measure of each angle. X x x 57 43 50 x 53 62 80 65 x 80 50 44 x title.
T 30 7 g t e 28 58. Find m3 if m5 130 and m4 70. R 130 solve.
E 95 6 u s j 110 80. What is m c. Use the figure at the.
The following diagram shows the exterior angle theorem. The exterior angle theorem says that an exterior angle of a triangle is equal to the sum of the 2 non adjacent interior angles. If m a 30 and m b 70.
U v 65 3 u y 50 70. Microsoft word worksheet triangle sum and exterior angle doc author. Exterior angle theorem triangle angle sum theorem last modified by.
You can choose a single variable or an algebraic expression for the unknown angle. Right for problems 1 3. This worksheet is a great resource for the 5th 6th grade 7th grade and 8th grade.
21 1 22 2 23 3 24 4 25 5 26 6. 50 u t 70 2 t p 115 50. 1 v r 120.
The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two opposite interior angles. Scroll down the page for more examples and solutions using the exterior angle theorem formula to solve problems. Test your ability to use the exterior angle theorem with this quiz and worksheet.
The exterior angle theorem worksheets this triangle worksheet will produce exterior angle theorem problems. Let s try two fairly basic examples and then try a few tougher ones. T s 120 4 r p 25 80.
The exterior angle theorem date period find the measure of each angle indicated. F 86 8 q p g 35 95. You will have to identify the definition and formula of the exterior angle theorem plug in given angles to.
S t 105 5 d c t 140 45. Math worksheets high school math based on the topics required for the regents exam conducted by nysed. Find m1 if m5 142 and m4 65.
Angles in a triangle worksheets angle sum property exterior angle theorem 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. M a m b m c 180 a b c ex. Taking our above example acd would equal whatever a b equaled because those are the two angles not connected to the exterior angle.
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