Final answer:
To find the angle measure of each triangle formed by the six triangles that create a rectangle, you can follow these steps: find the angles individually, add up all the angles, divide the rectangle into smaller triangles, and use trigonometric functions to find angles.
Step-by-step explanation:
To find the angle measure of each triangle formed by the six triangles that create a rectangle, we can follow these steps:
a. Find the angles individually: Since a rectangle has four right angles, we know that each triangle formed by the six triangles will have an angle measure of 90 degrees.
b. Add up all the angles: Since each triangle has a 90-degree angle, when we add up the angle measures of all the triangles, we get a total of 6 * 90 = 540 degrees.
c. Divide the rectangle into smaller triangles: By dividing the rectangle into six smaller triangles, we can analyze the angle measures of each triangle more easily.
d. Use trigonometric functions to find angles: Trigonometric functions, such as sine, cosine, and tangent, can be used to find the angle measures of the smaller triangles by using the lengths of their sides.