1.

One of the angles of a triangle is 80 degrees and the other two angles are equal. Find the measure of each of the equal angles.

Answer»

LET the two ANGLES be EQUAL to x. Since they are equal we assume both of them to be x.


So according to angle sum property of triangle, the sum of all the INTERIOR angles of a triangle sum up to 180°.


=> Angle 1 + Angle 2 + Angle 3 = 180°


=> x + x + 80° = 180°


=> 2x + 80° = 180°


=> 2x = 180° - 80°


=> 2x = 100°


=> x = 100° / 2


=> x = 50°


Hence the angle measure of the two equal angles are 50°.



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