If a new ramp is built with a ramp angle of 3.5 degrees, determine the measure of the third angle of the triangle. Remember, the triangle is a right triangle.

Question

(5 points)
Responses

86.5 degrees
86.5 degrees

94.5 degrees
94.5 degrees

13 degrees
13 degrees

176.5 degrees

Answer 1

In a right triangle, one angle is always 90 degrees. Given that one of the other angles is 3.5 degrees, you can find the measure of the third angle using the fact that the sum of the angles in a triangle is 180 degrees.

Let the measure of the third angle be \( x \).

The equation can be set up as follows:

\[ 90 + 3.5 + x = 180 \]

Now, simplify this:

\[ 93.5 + x = 180 \]

Subtract 93.5 from both sides:

\[ x = 180 - 93.5 \] \[ x = 86.5 \]

Therefore, the measure of the third angle is 86.5 degrees.