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Section 4-6 spi.3.2.A Jim Smith JCHS Isosceles triangles have at least 2 congruent sides Vertex angle Leg Base angle Leg Base Base angle If 2 sides of a triangle are congruent then the angles opposite them are congruent X 30° X X X180 + X– +30 30= =150° 180° X = 2X + 150 30 = 180 2 2X = 150 75° XX==75° 70° 70° X = 180 – 70 – 70 X + 70 + 70 = 180 140 = 180 XX = + 40° X = 40° The converse is also true If 2 angles of a triangle are congruent, then the sides opposite them are congruent 10 X 7 X = 10 B A 35° 22° C 23° E IF ‹ EDC = 120° Find : D ‹ ‹ ‹ ‹ ‹ 120 – 79 = 41° ABE A BED EDB C = = = = = 23° 134° 79° 79° 104° IF ‹4 = 118° , FIND B 3 6 1 A 2 4 5 | D C ‹1 ‹2 ‹3 ‹5 ‹6 = 62° = 62° = 56° = 31° = 31° Equilateral triangles are special isosceles triangles. 60° 60° | 60°