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27. select all that apply: what kind of angles are formed when two line…

Question

  1. select all that apply: what kind of angles are formed when two lines intersect? linear and congruent angles only adjacent angles vertical and adjacent angles supplementary and complementary angles

Explanation:

Brief Explanations

When two lines intersect, adjacent angles are formed (they share a common side and vertex). Also, vertical angles (opposite angles) are formed. Linear - congruent angles: When two lines intersect, linear pairs (adjacent angles that form a straight line, so they are supplementary) are formed. But not all linear pairs are congruent (only when the lines are perpendicular). So the statement "linear and congruent angles" is not always True. "Only adjacent angles" is incorrect because vertical angles are also formed. Supplementary angles: Adjacent angles that form a linear pair are supplementary. Complementary angles (sum to \(90^{\circ}\)) are not formed when two lines intersect (unless the lines are perpendicular, but the question is about the general case of two intersecting lines).

Answer:

Vertical and adjacent angles.