Question

Manipulate the triangle so angle A measures approximately 92°.

Manipulate the triangle so angle B measures approximately 51°.

Notice the straight line p.

What must the measurement of angle C be for p to remain a straight line?

Angle C should measure approximately

Answer 1

To find the measurement of angle C so that line p remains straight, you can use the fact that the sum of angles in a triangle is always 180°.

Given:
- Angle A ≈ 92°
- Angle B ≈ 51°

To find angle C, you can use the formula:

\[
\text{Angle C} = 180° - \text{Angle A} - \text{Angle B}
\]

Substituting the values:

\[
\text{Angle C} = 180° - 92° - 51°
\]

Calculating this:

\[
\text{Angle C} = 180° - 143°
\]
\[
\text{Angle C} = 37°
\]

Therefore, angle C should measure approximately **37°** for p to remain a straight line.