Question

Drag an answer to each box to complete this paragraph proof. Given: Prove: M

Answer 1

Complete question is;

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°

It's given that <ABC and <CBD are ________.

So, m<ABC + m<CBD = 90° using the _______.

It is also given that m<ABC = 35°

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

Therefore, using the subtraction property of equality, m<CBD = ___

Attached is an image of both angles.

Options to drag are;

Complementary angles, supplementary angles, definition of supplementary angles, definition of complementary angles, 35°, 55°, 90°

Answer:

It's given that <ABC and <CBD are __complementary angles___.

So, m<ABC + m<CBD = 90° using the __definition of complementary angles___.

It is also given that m<ABC = 35°

Using substitution property of equality, you have _35°_ + m<CBD = 90°.

Therefore, using the subtraction property of equality, m<CBD = _55°_

Step-by-step explanation:

Now, from angle properties, we know that the Sum of 2 Complementary angles is equal to 90°.

Thus, <ABC and <CBD are complementary angles.

Then;

m<ABC + m<CBD = 90° (using the definition of complementary angles as seen above).

It is also given that m<ABC = 35°

Now, Using substitution property of equality, we will have;

35°+ m<CBD = 90°

Subtract 35° from both sides to get;

35 - 35 + m<CBD = 90 -35

m<CBD = 55°