Question

If a right triangle has an angle that is 55° , what is the measure of the third angle in the triangle? Show your work. (1 point) Responses 55° 55 degrees 180° 180 degrees 90° 90 degrees 35°

Answer 1

In a triangle, the sum of all angles is always 180 degrees. Since we have a right triangle, one angle is 90 degrees.

Let's denote the angles in the triangle:
- Angle A = 90° (right angle)
- Angle B = 55° (given)
- Angle C = the angle we need to find.

Using the formula for the sum of angles in a triangle, we have:

\[
A + B + C = 180°
\]

Substituting the known values:

\[
90° + 55° + C = 180°
\]

Now, we can solve for \(C\) by rearranging the equation:

\[
C = 180° - 90° - 55°
\]

Calculating the right side:

\[
C = 180° - 145° = 35°
\]

So, the measure of the third angle in the triangle is \(35°\).

Therefore, the answer is \(35°\).