The diagram illustrates congruent and complementary angles
The congruent statement [tex]\angle C \cong \angle P[/tex] is true
How to prove the congruent statement
The given parameters are:
Angles C and O are complementary angles
Angles P and M are complementary angles
[tex]\angle O \cong \angle M[/tex]
The statement [tex]\angle O \cong \angle M[/tex] means that, angles O and M are congruent angles.
From the figure, we have:
[tex]\angle C = 90 - \angle O[/tex]
Also, we have:
[tex]\angle P = 90 - \angle M[/tex]
Recall that: [tex]\angle O \cong \angle M[/tex]
So, we have:
[tex]\angle P = 90 - \angle O[/tex]
By comparison, we have:
[tex]\angle C \cong \angle P = 90 - \angle O[/tex]
Hence, the statement [tex]\angle C \cong \angle P[/tex] has been proven
Read more about angle proofs at:
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