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Mathematics

1 answer:

katen-ka-za [31]3 years ago

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Answers:
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Angle B: 81° .
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Angle C: 99° .
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Angle D: 81° .
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Explanation:
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Angle B:
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Given: m∡A = 99° ;

∡A and ∡B are "supplementary angles" ;
and supplementary angles add up to 180°.
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 → So, m∡B = 180 − 99 = 81° .
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Angle C: 99° .
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Explanation:
_______________________________________________________
Given: m∡A = 99° .

∡A and ∡C are "vertical angles". Vertical angles are congruent.
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→ So m∡A = m∡C = 99° .
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Angle D: 81° .
______________________________________________________
Explanation:
______________________________________________________
∡B and ∡D are vertical angles. Vertical angles are congruent.

As previously determined above, m∡B = 81° .
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→ So, m∡D = m∡B = 81° .
______________________________________________________

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