GEOGRAPHY MIDDLE SCHOOL

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°.

Answers

Answer 1
Answer:

The triangles with angle measures of 30°, 60°, and 90°, and 25°, 65°, and 90° are possible to draw. Therefore, option A and E are correct.

What is triangle?

A triangle is a closed two-dimensional geometric figure with three straight sides and three angles. It is one of the simplest polygon shapes and is formed when three non-collinear points are connected by straight lines.

To determine if a triangle is possible to draw, we need to check if the sum of its angle measures is 180°. If the sum of the angle measures is less than 180°, then the triangle cannot close. If the sum of the angle measures is greater than 180°, then the triangle is not a triangle, as it has too many degrees. Here are the calculations for each of the given triangles:

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

30° + 60° + 90° = 180°, so this triangle is possible to draw.

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

20° + 50° + 105° = 175°, so this triangle is not possible to draw.

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

100° + 40° + 45° = 185°, so this triangle is not possible to draw.

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

55° + 35° + 80° = 170°, so this triangle is not possible to draw.

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

25° + 65° + 90° = 180°, so this triangle is possible to draw.

Therefore, only the triangles with angle measures of 30°, 60°, and 90°, and 25°, 65°, and 90° are possible to draw.

Learn more about triangle here:

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Answer 2
Answer: It has to be no.1 or no.5 because the numbers add up to 180 degrees.
The other options equal more or less than 180.

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