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°
