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  • 28-09-2018
  • Mathematics
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Drag an answer to each box to complete this paragraph proof. Given: ∠ABC and ∠CBD are complementary angles and ​ m∠ABC=25° ​ Prove: m∠CBD=65°

Drag an answer to each box to complete this paragraph proof Given ABC and CBD are complementary angles and mABC25 Prove mCBD65 class=

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PiaDeveau PiaDeveau
  • 07-10-2018

It's given that <ABC and <CBD are Complementary angles.

Sum of Complementary angles is equal to 90 degrees.

So, m<ABC + m<CBD = 90 degrees using the defination of complementary angles.

It is also given that m<ABC = 25 degrees.

Using substitution property of equality, you have 25°+ m<CBD = 90 degrees.

On subtracting 25 from both sides, we get  25-25+ m<CBD = 90-25.

m<CBD = 65 degrees.

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