Question

Manipulate the triangle so angle A measures 14° and angle B measures 62°.

Which statement is true about angle C?
The angle is acute.
The angle does not make a straight line with the other two.
The angle is obtuse.
The angle is a right angle.

Answer 1

In any triangle, the sum of the interior angles is always 180°. Given that angle A measures 14° and angle B measures 62°, we can calculate angle C as follows:

Angle C = 180° - (Angle A + Angle B)
Angle C = 180° - (14° + 62°)
Angle C = 180° - 76°
Angle C = 104°

Now let's evaluate the statements about angle C:

1. The angle is acute. (False, since 104° is greater than 90°)
2. The angle does not make a straight line with the other two. (True, because it is part of a triangle and not adjacent to angle A + angle B in a straight line)
3. The angle is obtuse. (True, because 104° is greater than 90°)
4. The angle is a right angle. (False, since 104° is not equal to 90°)

Thus, the two true statements about angle C are:
- The angle does not make a straight line with the other two.
- The angle is obtuse.

Since you asked for which statement is true about angle C, the most specific answer is: "The angle is obtuse."