Question

Drag an answer to each box to complete this paragraph proof.

Answer 1

Answer:

A. Complementary angles.

B. property of complementary angles .

C. $25^{\circ}$.

Step-by-step explanation:

Given $\angle ABC$ and $\angle CBD$ are complementary angles.

To prove that $m\angle CBD= 65^{\circ}$

We know that when two angles are complementary then their sum is given by

$m\angle ABC+ m\angle CBD= 90^{\circ}$

By using the property of complementary angles.

Complementary angles: when the sum of two angles is $90^{\circ}$ then we say two angles are complementary angle.

Is is given that $m\angle ABC=25^{\circ}$

By using the subsitution property of equality , we have

$25^{\circ}+m\angle CBD =90^{\circ}$

Therefore, by using subtraction property of equality , we have

$m\angle CBD= 90-25=65^{\circ}$

Hence, $m\angle CBD= 90^{\circ}$.

Hence proved.

Answer 2

Given that

∠ABC and ∠CBD are complementary

Sum of complementary angle = 90°

⇒ m∠ABC  + m∠CBD = 90°

⇒  25° + m∠CBD = 90°              [ Given that m∠ABC = 25°]

⇒  m∠CBD = 90°  - 25°

⇒  m∠CBD = 65°

Hence proved