1.6 Paragraph Proofs. State the given State any facts Show work State the conclusion. Just simply explain ALL your steps!. Given: <O = 67.5 o <P = 67 o 30’ Prove: <O = <P
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Given: <O = 67.5o
<P = 67o 30’
Prove: <O = <P
Proof: It is given that <0= 67.5o and <P= 67o 30’. Since there are 60 minutes in 1 degree, 67o 30’ equals 67.5o. Since <O and <P have the same measure, they are congruent.
Given: Diagram as Shown
Prove <DBC = <E
Proof: According to the diagram,
<ABC is a straight angle. Therefore,
Since <DBC = 60 and <E = 60, the angles are congruent
Given: <1 is acute
<2 is acute
Conclusion: <1 = <2
Proof: This conclusion cannot be proved. For example m<1=20 and m<2=30, they are both acute but not congruent.