Answer:
Andrew wins the round.
Step-by-step explanation:
Seeing as red is negative and black is positive, that would make the equations as follows, in the order of Abby, Ashley, Andrew, and Anna.
Meaning that Andrew wins, as his sum is the highest.
Given: △ABC, BC>AC, D∈ AC , CD=CB Prove: m∠ABD is acute
1 answer:
Answer:
Step-by-step explanation:
Given: △ABC, BC>AC, D∈ AC , CD=CB
To prove: m∠ABD is acute
Proof: In ΔABC, the angle opposite to side BC is ∠BAC and the angle opposite to side AC is ∠ABC.
Now, it is given that BC>AC, then ∠BAC>∠ABC.. (1)
In ΔBDC, using the exterior angle property,
∠ADB=∠DBC+∠BCD
∠ADB=∠DBC+∠BCA
⇒∠ADB>∠BAC (2)
From equation (1) and (2), we get
∠ADB>∠BAC
⇒∠ADB>∠ABC
⇒DB>AB
Hence, m∠ABD is acute
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