Question

Can you form a unique triangle, more than one triangle, or no triangle with angles that measure 50°, 90°, and 110°? Explain and support your explanation with drawings.

Answer 1

You cannot form a unique triangle, multiple triangles, or no triangles with angles that measure 50°, 90°, and 110°. The sum of these angles is 250°, which is more than 180°, the total degrees in a triangle.

Step-by-step explanation:

You cannot form a triangle with angles that measure 50°, 90°, and 110°. This is because the sum of the angles in any triangle is always 180°. If you add up 50°, 90° and 110°, you'll get a total of 250°, which is more than 180°. Therefore, these angles cannot form a triangle.

Here's a simple way to visualize this:

Step 1: Imagine a triangle with angles of 50° and 90°. The remaining angle must be 40° (since 180° - 50° - 90° = 40°) to make the total 180°.

Step 2: Now try to insert an angle of 110° instead of 40°. It doesn't fit because it's larger than the necessary 40° to complete a triangle of 180°.

Learn more about Triangle Angle Sum