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The sum of the measure of the angles of a triangle is 180o Corollary The acute angles of a right triangle are complementary. Exterior angle theorem An exterior angle of a triangle is equal in measure to the sum of the measures of its two remote interior angles. Triangle Proportionality Theorem
Corollary: The acute angles of a right triangle are complementary. 4.2 Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. 4.3 Third Angles Theorem: If two angles of one triangle are congruent to two angles of another triangle, then the third
5 gru 2018 · Theorem 2.7 Angles complementary to the same angle or to congruent angles are congruent. (p. 109) Abbreviation: compl. to same or are . Theorem 2.8 Vertical Angle Theorem If two angles are vertical angles, then they are congruent.
Complementary Angles - We can observe many relationships in figure 3. ∠1 is adjacent to both ∠6 and ∠2. Angle 3 and ∠6 are vertical angles, as are ∠1
Understand that complementary angles are angle pairs which have a sum of 90 degrees, forming a right angle when paired together. Note, the two angles may be adjacent or not to be considered complementary.
Which angle is common to both the triangle and the straight angle? If we subtract the measure of ∠ from both the triangle and the straight angle, we get: What kind of angle is ∠ ?
Congruent Triangles. If two triangles are congruent, then all of the parts of one triangle are congruent to the corresponding parts of the other triangle. This means that the corresponding sides and the corresponding angles are congruent.
