Complete the proof....
1 answer:
Answer:
The correct options are;
1. Definition of supplementary angles
2. m∠1 + m∠2 = m∠1 + m∠3
3. m∠2 = m∠3
4. Definition of Congruent Angles
Step-by-step explanation:
The two column proof is presented as follows;
Statement Reason
1. ∠1 and ∠2 are supplementary Given
∠1 and ∠3 are supplementary
2. m∠1 + m∠2 = 180° Definition of supplementary angles
m∠1 + m∠3 = 180°
3. m∠1 + m∠2 = m∠1 + m∠3 Transitive Property
4. m∠2 = m∠3 Subtraction Property of Equality
5. ∠2 ≅ ∠3 Definition of Congruent Angles
Given that angles ∠1 and ∠2 are supplementary angles and angles ∠1 and ∠3 are are also supplementary angles, then the sums of m∠1 + m∠2 and m∠1 + m∠3 are equal, therefore, ∠2 and ∠3 have equal quantitative value and therefore ∠2 = ∠3 and by definition, ∠2 ≅ ∠3.
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Answer:
The number of original students desk were there before the purchase is 980 .
Step-by-step explanation:
Given as :
The total number of students and teachers new desks to be purchased = 295
The number of teacher's new desk to be purchased = 50
So , The number of student's new desk to be purchased = 295 - 50 = 245
The number of student's new desk to be replaced this year = of the original students desk
Let The number of original students desk were there before the purchase = x
Or, According to question
of x = 245
Or, x = 245 × 4
∴ x = 980
Hence The number of original students desk were there before the purchase is 980 . Answer