Which angles are alternate interior angles explain

Which angles are alternate interior angles explain


[tex]Which angles are alternate interior angles explain[/tex]

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  1. Alternate interior angles are "interior" (between the parallel lines), and they "alternate" sides of the transversal. Notice that they are not adjacent angles (next to one another sharing a vertex). ... If two parallel lines are cut by a transversal, the alternate interior angles are congruent.

    [tex]It wants me to upload a picture but instead can someone just tell me what the picture is and then ex[/tex]

  2. Here is the required diagram .

    [tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(0,3){2}{\line(1,0){4}}\qbezier(0,0)(0,0)(4,3)\qbezier(1,0)(1.2,0.35)(0.8,0.6)\qbezier(3,3)(2.8,2.65)(3.2,2.4)\put(2.5,0.02){\vector(1,0){0}}\put(1.5,3.02){\vector(-1,0){0}}\end{picture}[/tex]

    Alternate angles are equal .

  3. Here's what I get.

    Step-by-step explanation:

    Assume the diagram is like the one below.

    Segments AB, BC, and CH are transversals to the sides of the pool table.

    BC is also a transversal to AB and CH.

    a. Angles we can be sure about

    ∠ABC — interior opposite angles of transversal BC

    ∠CBH — interior opposite angles of transversal BC

    ∠BHC — interior angles of triangle BHC

    ∠ABK — alternate exterior angles of transversal BC

    ∠CHG — complementary to ∠CGH

    b. Sets of congruent angles

    ∠ABC ≅ ∠BCH = 66° — interior opposite angles of transversal BC

    ∠CBH ≅ ∠BCE = 57° — interior opposite angles of transversal BC

    ∠BHC ≅ ∠GCH = 57° — interior opposite angles of transversal CH

    ∠ABK ≅ ∠GCH = 57° — alternate exterior angles of transversal BC

    One set of congruent angles is {∠ABC, ∠BCH}

    Another set is {∠ABK, ∠BCE, ∠BHC, ∠CBH, ∠GCH}

    c.  Alternate interior angles

    Alternate interior angles are a pair of angles on the inner sides of the parallel lines but on opposite sides of the transversal.

    The sets of alternate interior angles are {∠ABC, ∠BCH}, {∠ ABC, ∠BCD} {∠BCE,  ∠CBH}, {∠CHJ, ∠GCH}

    d. Corresponding angles

    Corresponding angles are a pair of angles on the same side of parallel lines and on the same side of the transversal.

    The diagram has no corresponding angles.

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  4. Yeah i’m pretty sure that they do add up to 180 i’m not sure how to explain it but because they are on opposite sides they add up

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