HOW TO FIND AN ANGLE MEASURE FOR A TRIANGLE WITH AN EXTENDED SIDE

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Presentation transcript:

HOW TO FIND AN ANGLE MEASURE FOR A TRIANGLE WITH AN EXTENDED SIDE

FINDING THE VALUES OF X AND Y Theorem 26: An exterior angle of a triangle is equal to the sum of the two remote (nonadjacent) interior angles. Determine the nonadjacent interior angles. (y+600 ) Find the value of x. (580+x=1800) X=1800-580 X=1220 Find the value of y. Y+600=1220 Y=1220-600 Y=620

SOLVING USING ANOTHER METHOD Theorem 26: An exterior angle of a triangle is equal to the sum of the two remote (nonadjacent) interior angles. The sum of the interior angles of a triangle is 180 Find the value of y. 600+580+y=1800 Y=1800-600-580 Y=620 Find the value of x. x=600+620 X=1220