Mathematics
Grade9
Easy

Question

The steps of the proof are shown.
Given: m angle 1 plus m angle 2 equals 180 to the power of ring operator end exponent
m angle 1 equals 62 to the power of ring operator end exponent
PROVED: m angle 2 equals 118 to the power of ring operator end exponent

1. m ∠ 1 + m ∠ 2 = 180 (Given)
2. m ∠ 1 = 62 (_____)
3. 62 + m ∠ 2 = 180 (Substitution Property)
4. m ∠ 2 = 118 (_____)
What is the reason for step 2 and step 4?

  1. 2- Subtraction Property, 4- Subtraction Property
  2. 2- Given, 4- Subtraction Property
  3. 2- Distributive Property, 4- Substitution Property
  4. 2- Given, 4- Substitution Property

Hint:

In this question , given is m∠1 + m∠2 = 180° . And also m∠1 = 62° and here proved is m∠2 =118°. Here we have to find the reason for step 2 and step 4. Remember the property of equality.

The correct answer is: 2- Given, 4- Subtraction Property


    Here we have to find the reason for step 2 and step 4 .
    The given is m∠1 + m∠2 = 180° , And also m∠1 = 62°.
    Now ,
    m∠1 + m∠2 = 180° ( given)
    m∠1 = 62° ( given)
    62 + m∠2 = 180° ( substitution property )
    m∠2 =118° ( subtraction property )
    Therefore, the reason of step 2 and step 4 is given and subtraction property.
    The correct answer is 2- Given , 4- Subtraction property.
    Or, simply
    The whole proof:
    m ∠ 1 + m ∠ 2 = 180 (Given)
    m ∠ 1 = 62 (Given)
    62 + m ∠ 2 = 180 (Substitution Property)
    m ∠ 2 = 180 - 62 = 118 (Subtraction Property)


     

    In this question, we have to step 2 and step 4 reason . For that we must know the property or equality. Here step 2 is given but step 4 is subtraction property. In subtraction property, if A=B , then A – x = B – x .

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.