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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°


It is given that ∠ABC and ∠CBD are . So, m∠ABC+m∠CBD=90° using the . It is also given that ​ m∠ABC=25° ​. Using the substitution property of equality, you have + ​ m∠CBD=90° ​. Therefore, using the subtraction property of equality, ​ m∠CBD=65° ​

Respuesta :

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


lublana

Answer:

A. Complementary angles.

B. property of complementary angles .

C. [tex]25^{\circ}[/tex].

Step-by-step explanation:

Given [tex]\angle ABC[/tex] and [tex]\angle CBD[/tex] are complementary angles.

To prove that [tex]m\angle CBD= 65^{\circ}[/tex]

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

[tex]m\angle ABC+ m\angle CBD= 90^{\circ}[/tex]

By using the property of complementary angles.

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

Is is given that [tex]m\angle ABC=25^{\circ}[/tex]

By using the subsitution property of equality , we have

[tex]25^{\circ}+m\angle CBD =90^{\circ}[/tex]

Therefore, by using subtraction property of equality , we have

[tex]m\angle CBD= 90-25=65^{\circ}[/tex]

Hence, [tex]m\angle CBD= 90^{\circ}[/tex].

Hence proved.

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