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Name________________________ SUM OF THE INTERIOR ANGLES OF A TRIANGLE #2-KEY Directions: Solve for x in each of the triangles below. The Triangle Sum Theorem states that the interior angles of a triangle always add up to 180̊ . Your first step should be to set up an equation where the sum of the angles adds up to 180̊. Solve the equation for x, then plug that value back in to the expressions to find the measure of the missing angles. C C 1) 2) x 3) A x 3x 60̊ A B A B 70̊ 70̊ x+10 A 50̊ x+50 4x C B x = __30___ C 4) 5x 6x x = _ 60___ B x = __10___ x = _ 12_ _ ABC _ 90̊____ CAB _ 70̊__ _ CAB _ 60̊__ CAB _ 62̊___ ACB _ 30̊____ ACB _ 60̊__ _ CBA _ 50̊__ CBA __ 48̊_ _ A 5) 6) 60̊ 5x B 7) A B B 3x+50 A 8) 3x+5 2x 40̊ 3x 77̊ C C x = __15___ 2x+20 3x-20 2x x = _ 30___ A x = __ 8___ x = _ 22_ _ ABC _ 75̊____ CAB _ 60̊__ _ CAB _ 74̊__ CAB _ 44̊___ ACB _ 45̊____ ACB _ 80̊__ _ CBA _ 29̊__ CBA __ 46̊_ _ A A 9) 37̊ B C A x 10) B C C 29̊ 11) 12) 2x 2x+15 2x C x = __32___ C 2x+30 72̊ 4x+30 B x = _ 26___ B 7x B x = __ 11___ 2x C x = _ 25_ _ ABC _ 79̊____ CAB _ 26̊__ _ CAB _ 77̊__ CAB _ 50̊___ ACB _ 64̊____ ACB _ 82̊__ _ CBA _ 74̊__ CBA __ 50̊_ _ www.imathworksheets.com 80̊ A