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If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent. Isosceles triangle theorem. If two sides of a triangle are equal in measure, then the angles opposite those sides are equal in measure.
the angle relationship between the angles that you are working with. Are they supplementary (sum to 180 0 ) OR complementary(sum to 90 )? Are they congruent to each other? vertical, alternate interior, alternate exterior , or corresponding angles.
Complementary angles make up the Corner of a piece of paper. Supplementary angles make up the Side of a piece of paper. Two angles are complementary angles if the sum of their measures is 908. Each angle is the complement of the other. A. 328. aA and aB are complementary angles. maA 1 maB 5 328 1 588 5 908. 588.
The acute angles of a right triangle are complementary. The measure of each angle of an equiangular triangle is 600. = mZB = — 600 Theorem 4-2-4 Exterior Angle Theorem The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles. mZ4 = mZ1 + mZ 3 4 The remote interior angles of L4 are Ll and 2
Definition In a protractor geometry {P, L, d, m}, we say ∠ABC is an acute angle if m(∠ABC) < 90, a right angle if m(∠ABC) = 90, and an obtuse angle if m(∠ABC) > 90. We say angles ∠ABC and ∠DEF are supplementary if. m(∠ABC) + m(∠DEF ) = 180. and we say angles ∠ABC and ∠DEF are complementary if. m(∠ABC) + m(∠DEF ) = 90.
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
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
