Question

given: ∠1 and ∠2 are supplementary
m∠1 = 53°
prove: m∠2 = 127°
steps reasons

1. ∠1 and ∠2 are supplementary select an answer
2. m∠1 + m∠2 = 180° select an answer
3. m∠1 = 53° select an answer
4. 53° + m∠2 select an answer
5. m∠2 = 1 select an answer

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Explanation:

Step1: State given condition

$\angle 1$ and $\angle 2$ are supplementary
Reason: Given

Step2: Use supplementary angle definition

$m\angle 1 + m\angle 2 = 180^\circ$
Reason: Definition of Supplementary Angles

Step3: State given angle measure

$m\angle 1 = 53^\circ$
Reason: Given

Step4: Substitute known angle value

$53^\circ + m\angle 2 = 180^\circ$
Reason: Substitution property of $=$

Step5: Isolate $m\angle 2$ via subtraction

$m\angle 2 = 180^\circ - 53^\circ = 127^\circ$
Reason: Subtraction Property of $=$

Answer:

Step	Steps	Reasons
2	$m\angle 1 + m\angle 2 = 180^\circ$	Definition of Supplementary Angles
3	$m\angle 1 = 53^\circ$	Given
4	$53^\circ + m\angle 2 = 180^\circ$	Substitution property of $=$
5	$m\angle 2 = 127^\circ$	Subtraction Property of $=$

Final proven result: $m\angle 2 = 127^\circ$