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Find corresponding angles in similar triangles and calculate missing angles
Sum of angles: 180.0°
Sum of angles: 0°
| Position | Triangle 1 | Triangle 2 | Match? |
|---|---|---|---|
| Angle A | 50° | 50° | ✓ Yes |
| Angle B | 60° | 0° | ✗ No |
| Angle C | 70° | 0° | ✗ No |
Corresponding angles are angles that occupy the same relative position in similar triangles. In similar triangles, all corresponding angles are equal, which is the foundation of the AA (Angle-Angle) similarity theorem.
The sum of all interior angles in any triangle always equals 180°. This property helps us find missing angles when two angles are known.
If two angles of one triangle are equal to two angles of another triangle, the third angles must also be equal, and the triangles are similar.
Corresponding angles are typically labeled the same way (A with A, B with B, C with C) and occupy equivalent positions in the triangles.
Use the formula: Missing Angle = 180° - Angle1 - Angle2 to find the third angle when two are known.
Corresponding angles are angles in matching positions in similar triangles. For example, the smallest angle in one triangle corresponds to the smallest angle in the other triangle.
This is a fundamental property of Euclidean geometry. Any triangle drawn on a flat surface will always have interior angles that add up to exactly 180 degrees.
Subtract the two known angles from 180°. For example, if angles are 50° and 60°, the third angle is 180° - 50° - 60° = 70°.
Yes! If all three pairs of corresponding angles are equal (or even just two pairs), the triangles are similar. This is the AA (Angle-Angle) similarity theorem.
No, but it's conventional. What matters is the position and size of the angle, not the label. The smallest angle corresponds to the smallest angle, regardless of labels.
In real measurements, small rounding errors are normal. If the sum is within 1-2° of 180°, it's likely due to measurement precision or rounding.
Only in similar triangles. In non-similar triangles, corresponding angles (by position) won't necessarily be equal.
In similar triangles, the side opposite a given angle in one triangle corresponds to the side opposite the equal angle in the other triangle.
Check if triangles are similar using AA, SAS, or SSS
Check triangle congruence with SSS, SAS, ASA, AAS, or HL
Calculate missing sides using proportions
Find the scale factor between similar triangles
Calculate and apply scale factors