Question

Drag an answer to each box to complete this paragraph proof. Given: ∠ABC and ∠CBD are complementary angles and ​ m∠ABC=35° ​ Prove: m∠CBD=55°

Answer 1

The condition for two angles to be complementary is that that sum of two angles must be 90 degree.

hence  the sum of m∠ABC and  m∠CBD must be 90 degree. we can write

m∠ABC + m∠CBD = 90

given that : m∠ABC=35°

inserting the value in the above equation

35 + m∠CBD = 90

subtracting 35 both side

35 - 35 + m∠CBD = 90 - 35

m∠CBD = 55

hence proved

Answer 2

Answer:

2 complementary, then subsitution.

Step-by-step explanation:

It is given that ∠ABC and ∠CBD are complimantey angles.

So, m∠ABC+m∠CBD=90° using the definition of complementary angles.

It is also given that ​m∠ABC=35°​.

Using the subsitution property you have 35° + ​m∠CBD=90°​.

Therefore, using the subtraction property of equality,  ​m∠CBD=55°