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HELPPP PLSSS!!
Complete the two-column proof below. The ‘reasons’ are already given, so only the mathematical ‘statements’ need to be completed.
Given: A and B are complementary angles. B and C are complementary angles. Prove: A  C

HELPPP PLSSS Complete the twocolumn proof below The reasons are already given so only the mathematical statements need to be completed Given A and B are complem class=

Respuesta :

adioabiola

The required statements are;

  • Given; <A and <B and <B and <C are complementary
  • Definition of complementary angles; <A = 180° - <B and <B= 180° - <C
  • Substitution property of equality; <A = 180° - (180° - <C)
  • Subtraction property of equality; <A = 180° - 180° + <C
  • Angles that gave Equal measures are congruent since, <A = <B.

Congruent angles and complementary angles

By definition, two angles are considered congruent if they have equal angle measures.

Additionally, two angles are said to be complementary if the sum of their angle measures equals 180°.

Hence it follows that A and B are complementary if; <A = 180 - <B.

Read more on congruent angles and complementary angles;

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