Which of the following are true?
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Which of the following are true?
If the sum of the angles in a triangle equals 180, then angle F equals 75 and therefore angle C also equals 75.
The triangles are similar according to the angle-angle theorem
Answer D is correct
Answers (a) and (b) are correct.
Use the AA (Angle-Angle) Theorem: if two angles in one triangle equal two angles in another triangle, the triangles are similar. You only need two pairs of equal angles!
Both triangles have angles of 65° and 40°. Since triangle angles sum to 180°, the third angle in each triangle must be:
The symbol ∼ means "similar to". Similar triangles have the same shape but different sizes - all corresponding angles are equal and sides are proportional.
No! The AA Theorem says you only need two pairs of equal angles. The third pair will automatically be equal since all triangle angles sum to 180°.
Check your arithmetic! If angles don't sum to 180°, you made a calculation error. All triangles must have angles totaling exactly 180° - this is a fundamental rule.
Write corresponding vertices in the same order: if angle A corresponds to angle A, B to D, and C to F, then write
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