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" The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. "
The elements of geometry, in eight books; or, First step in applied logic - Pagina 202
door L J V. Gerard - 1874
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Arithmetic for Teachers: With Applications and Topics from Geometry

Gary R. Jensen - 2003 - 402 pagina’s
...two angles of the triangle are called the opposite angles of the given exterior angle. (a) Prove that an exterior angle of a triangle is equal to the sum of its two opposite angles. (b) How many degrees in the angle questioned? Explain your answer. (16) Here...
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Daily Warm-Ups: Geometry - Level II

Thomas Campbell - 2003 - 216 pagina’s
...angles formed by one triangle and the extension of one side at one vertex. The corollary states that "an exterior angle of a triangle is equal to the sum of the remote interior angles of that triangle." Another way to say this, in reference to the diagram...
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Acing the New SAT I Math

2004 - 358 pagina’s
...0 The acute angles of a right triangle are complementary. 2. Exterior Angle Theorem The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. remote interior angles exterior angle C D 0 The measure...
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Euclidean Geometry and Transformations

Clayton W. Dodge - 2004 - 310 pagina’s
...Parallelism of lines is transitive. 31. To draw a line through a point parallel to a given line. 32. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of the angles of a triangle is equal to two right angles....
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Lines and Curves: A Practical Geometry Handbook

Victor Gutenmacher, N.B. Vasilyev - 2004 - 178 pagina’s
..."alphabet." 6-7. Problem 2.6 touches on these theorems. B.4 Triangles 1. A theorem on the exterior angle. An exterior angle of a triangle is equal to the sum of the nonadjacent interior angles. 2. A theorem on the medians. The three medians of a triangle intersect...
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The Complete Idiot's Guide to Geometry

Denise Szecsei - 2004 - 404 pagina’s
...to ABED, and you know how exterior angles are related to nonadjacent interior angles: the measure of an exterior angle of a triangle is equal to the sum of the measures of the nonadjacent interior angles. I think you're ready for the columns. Statements Reasons...
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Maths Connect

Dave Kirkby, Sue Bright - 2005 - 230 pagina’s
...exterior angle is outside the shape. It is made by extending one of the lines of the side of the shape. An exterior angle of a triangle is equal to the sum of the two interior opposite angles. i + d = 180° (angles on a straight line) n + b + c = 180° (angles...
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Year 10 Intermediate Mathematics: Stage 5.2

Lyn Baker - 2005 - 168 pagina’s
...180°. x + y + z=180 a + b + c=180 If a side of a triangle is extended an exterior angle is formed. An exterior angle of a triangle is equal to the sum of the interior opposite angles. m' + n" There are two theorems concerning isosceles triangles: • If...
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Better Learning Through Structured Teaching: A Framework for the Gradual ...

Douglas Fisher, Nancy Frey - 2008 - 157 pagina’s
...provided a direct explanation of her thinking. She read the definition of the theorem: "The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles." She then explained her understanding of the theorem:...
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