1 m b 20 2 m b 20 3 m bca 130 4 m bca 130 18 in all isosceles triangles the exterior angle of a base angle must always be 1 a right angle 2 an acute angle 3 an obtuse angle 4 equal to the vertex angle. Interior interior exterior example 1 find x.
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A use the exterior angle inequality theorem to list all angles whose measures are less than m 14.
Exterior angle theorem worksheet pdf. Worksheet triangle sum and exterior angle theorem name period i. Find m3 if m5 130 and m4 70. Remember the exterior angles theorem states that the exterior angle is congruent to the sum of the two non adjacent angles.
21 1 22 2 23 3 24 4 25 5 26 6. Find the value of x. Learn to apply the angle sum property and the exterior angle theorem solve for x to determine the indicated interior and exterior angles.
Example 3 find x. Find m1 if m5 142 and m4 65. 63 75 1 x 20 2 x.
Exterior angle theorem triangle angle sum theorem last modified by. Find the measurement of each missing angle in the triangles below. Longest angle smallest side vs.
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. Worksheet triangle sum and exterior angle theorem name. Which inequality must be true.
Right for problems 1 3. B use the exterior angle inequality theorem to list all angles whose measures are greater than m 5. For example in problem 1 the exterior angle x is congruent to the sum of the two angles furthest away 60 80.
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. Microsoft word worksheet triangle sum and exterior angle doc author. View exterior angles pdf from matemathic algebra 2 at saline high school.
Exterior angle theorem exterior angles of a triangle the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles. Exterior angle inequality example 1. Use the figure at the.
J a2a0d1o1 y bkeu5tsam dspo8f 2tvw7adraer mlylqcb d a va sl dl 2 ir 3ihg7hutus x erle 9sse ergv le2d p 9 c omka2dce h nwjituh r ihnzf 4ibnqintveu cgueo7mfeter 9yb. Use the diagram to the right. Example 2 find x.
17 in abc an exterior angle at c measures 50ยบ. Find the measure of each angle. X x x 57 43 50 x 53 62 80 65 x 80 50 44 x title.
2 worksheet by kuta software llc kuta software infinite geometry name the exterior angle theorem date period.
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