When a triangle is dilated, the angles of the triangle remain unchanged. The dilation only affects the size (scale) of the triangle while preserving the shape.
Given that one triangle has angles measuring 34° and 80°, you can determine the third angle using the fact that the sum of the angles in any triangle is always 180°.
First, calculate the third angle:
\[ \text{Third angle} = 180° - (34° + 80°) = 180° - 114° = 66° \]
So, the three angles of the original triangle are 34°, 80°, and 66°.
When this triangle undergoes a dilation with a scale factor of 2, the corresponding angles of the dilated triangle will remain the same. Thus, the angles of the dilated triangle will also be:
- 34°
- 80°
- 66°
Hence, the two corresponding angles of the dilated triangle are 34° and 80°.