Two angles are 47 degrees and 58 degrees. Find the missing angle in the triangle.

The measure of the missing angle is
  
enter your response heredegrees.

1 answer

In a triangle, the sum of all three angles is always 180 degrees. To find the missing angle, you can use the following formula:

\[ \text{Missing angle} = 180^\circ - (\text{Angle 1} + \text{Angle 2}) \]

Given the angles are 47 degrees and 58 degrees:

\[ \text{Missing angle} = 180^\circ - (47^\circ + 58^\circ) \]

First, calculate the sum of the known angles:

\[ 47^\circ + 58^\circ = 105^\circ \]

Now, subtract this sum from 180 degrees:

\[ \text{Missing angle} = 180^\circ - 105^\circ = 75^\circ \]

Therefore, the measure of the missing angle is 75 degrees.