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Which of the following triangles are possible to draw?

A triangle with angle measures of 30°, 60°, and 90°.

A triangle with angle measures of 20°, 50°, and 105°.

A triangle with angle measures of 100°, 40°, and 45°.

A triangle with angle measures of 55°, 35°, and 80°.

A triangle with angle measures of 25°, 65°, and 90°.

Verified Answer :

AL2006


Every time you draw a triangle, no matter how big or small it is, the
three angles inside the triangle always add up to 180 degrees.

(30 + 60 + 90) = 180    These angles can make a triangle.

(20 + 50 + 105) = 175    These angles can not make a triangle.

(100 + 40 + 45) = 185    These angles can not make a triangle.

(55 + 35 + 80) = 170    These angles can not make a triangle.

(25 + 65 + 90) = 180    These angles can make a triangle.


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