Question

if angle R is 48 degrees, angle S is 98 degrees, what is the measure of the third angle in a triangle?

Answer 1

In a triangle, the sum of the interior angles is always 180 degrees. To find the measure of the third angle, you can use the formula:

\[
\text{Angle T} = 180^\circ - \text{Angle R} - \text{Angle S}
\]

Given:
- Angle R = 48 degrees
- Angle S = 98 degrees

Now, substitute the values:

\[
\text{Angle T} = 180^\circ - 48^\circ - 98^\circ
\]
\[
\text{Angle T} = 180^\circ - 146^\circ
\]
\[
\text{Angle T} = 34^\circ
\]

So, the measure of the third angle is **34 degrees**.