Question

A. Using a protractor, draw a triangle with two angles of 40°. Label the angle measures on your drawing.

a) Scalene and acute
b) Scalene and obtuse
c) Scalene and right-angled
d) Isosceles and obtuse

B. Describe the triangle you have drawn using correct geometric terminology. Be as specific as possible.

C. In complete sentences, explain how many triangles are possible given these conditions.

Answer 1

To draw a triangle with two angles of 40°, follow the steps: draw a base, measure and mark two 40° angles, connect the ends of the base to the angles, and label the angles. The triangle is scalene and acute. Only one triangle is possible.

Step-by-step explanation:

In order to draw a triangle with two angles of 40°, we can follow these steps:

1. Start by drawing a line segment to represent the base of the triangle.
2. Using a protractor, measure and mark a 40° angle at one end of the base.
3. Measure and mark another 40° angle at the other end of the base.
4. Draw the lines connecting the ends of the base to the angles you marked.
5. Label the angle measures on your drawing.

The triangle you have drawn is scalene and acute because all three sides have different lengths, and all three angles are less than 90°.

Given the conditions of two angles of 40°, only one triangle is possible because the sum of the angles in a triangle is always 180°.