Question

Find the missing angle. the top angle is 15 and the bottom angle is 85
Show your work. (1 point) °

Answer 1

To find the missing angle in a triangle when you know two angles, you can use the property that the sum of all angles in a triangle is always 180 degrees.

Let’s denote the three angles as:
- Angle A = 15°
- Angle B = 85°
- Angle C = ? (the missing angle)

We can express this relationship mathematically as follows:

\[
A + B + C = 180°
\]

Substituting the known values into the equation:

\[
15° + 85° + C = 180°
\]

Now, combine the known angles:

\[
100° + C = 180°
\]

Next, isolate \(C\) by subtracting 100° from both sides:

\[
C = 180° - 100°
\]

Calculating this gives:

\[
C = 80°
\]

Therefore, the missing angle is \(80°\).

**Final Answer: 80°**