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In parallelogram ABCD, the measure of angle A is 99°. What are the measures of the other 3 angles? Explain how you know.

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Answer:

B:81

C:99

D:81

Step-by-step explanation:

In a parallelogram, opposite angles are congruent and consecutive angles (angles next to each other) are supplementary, or add to 180. Considering that there is no diagram, we can use our imagination here. So B is next to A, so <A+<B=180. <B must equal 81. I repeated this process for the rest of the angle measures.

  • <A=99

[tex]\\ \sf\longmapsto <A=<C=99°[/tex]

sum of corresponding angles is 180°

[tex]\\ \sf\longmapsto <A+<B=180[/tex]

[tex]\\ \sf\longmapsto 99+<B=180[/tex]

[tex]\\ \sf\longmapsto <B=180-99[/tex]

[tex]\\ \sf\longmapsto <B=81[/tex]

[tex]\\ \sf\longmapsto <B=<D=81°[/tex]

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