+284 15. Drag and drop an answer to each box to correctly complete the proof.
Given: m∥nm∥n , m∠1=65∘m∠1=65∘ , m∠2=60∘m∠2=60∘ , and BD−→−BD→ bisects ∠ABC∠ABC .
Prove: m∠6=70∘
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It is given that m∥nm∥n , m∠1=65∘m∠1=65∘ , m∠2=60∘m∠2=60∘ , and BD−→−BD→ bisects ∠ABC∠ABC . Because of the triangle sum theorem, m∠3=55∘m∠3=55∘ . By the_____It is given that m∥nm∥n , m∠1=65∘m∠1=65∘ , m∠2=60∘m∠2=60∘ , and BD−→−BD→ bisects ∠ABC∠ABC . Because of the triangle sum theorem, m∠3=55∘m∠3=55∘ . By the_____, m∠ABC=110∘m∠ABC=110∘ . m∠5=110∘m∠5=110∘ because vertical angles are congruent. Because of the_____, m∠5+m∠6=180∘m∠5+m∠6=180∘ . Substituting gives110∘+m∠6=180∘110∘+m∠6=180∘ . So, by the_____m∠6=70∘m∠6=70∘ .
ANSWER CHOICES
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linear pair postulate
definition of bisector
transitive property of equality
angle addition postulate
same-side interior angles theorem
corresponding angles postulate
alternate interior angles postulate
subtraction property of equality
+9466 
It is given that m || n , m∠1 = 65° , m∠2 = 60° , and BD bisects ∠ABC .
Because of the triangle sum theorem, m∠3 = 55°.
By the definition of bisector, m∠ABC = 110°. (unsure of this one, but no other choice seems right)
m∠5 = 110° because vertical angles are congruent.
Because of the same-side interior angles theorem, m∠5 + m∠6 = 180°.
Substituting gives 110° + m∠6 = 180° .
So, by the subtraction property of equality, m∠6 = 70°
+9466
It is given that m || n , m∠1 = 65° , m∠2 = 60° , and BD bisects ∠ABC .
Because of the triangle sum theorem, m∠3 = 55°.
By the definition of bisector, m∠ABC = 110°. (unsure of this one, but no other choice seems right)
m∠5 = 110° because vertical angles are congruent.
Because of the same-side interior angles theorem, m∠5 + m∠6 = 180°.
Substituting gives 110° + m∠6 = 180° .
So, by the subtraction property of equality, m∠6 = 70°
