Given: , , and .
prove: ∠pcq is complementary to ∠abc.
proof: since , m∠o...
Mathematics, 16.01.2020 00:31 gtrsoccer
Given: , , and .
prove: ∠pcq is complementary to ∠abc.
proof: since , m∠ocq = 90° by the definition of perpendicular lines. by angle addition, we can say m∠ocq = m∠ocp + m∠pcq. but since m∠ocq = 90°, m∠ocp + m∠pcq = 90° by the transitive property of equality.
[missing step]
by the definition of congruent angles, m∠ocp = m∠abc. this leads to
m∠abc + m∠pcq = 90° by the transitive property of equality. so, based on the definition of complementary angles, ∠pcq is complementary to ∠abc.
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