Which statement is true about this argument?

Premises: If two angles form a linear pair, then they are supplementary.
If two angles are supplementary, then the sum of their measures is 180°.

Conclusion: If two angles form a linear pair, then the sum of their measures is 180°.

Question

lelykern2014 lelykern2014

26-09-2017
Mathematics

contestada

Which statement is true about this argument?

Premises: If two angles form a linear pair, then they are supplementary.
If two angles are supplementary, then the sum of their measures is 180°.

Conclusion: If two angles form a linear pair, then the sum of their measures is 180°.

Respuesta :

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Аноним Аноним · Answer 1 · 2019-05-02T12:22:50+02:00

Answer with explanation:

→The statement is always true that,if two angles form a linear pair ,then they are supplementary.

→Linear pair Axiom states that,if a ray cuts a line ,then sum of adjacent angles on the same side of ray is 180°.

→ The Meaning of term supplementary angles is that, sum of two angles should be equal to 180°.

→If two angles, ∠a And ∠b forms , linear pair ,then ,∠a+∠b=180°, that is if sum of two angles is 180°,it means they are supplementary also.

→But , if sum of two angles is 180°,it does not guarantee that, they will form Linear Pair.

I have illustrated this concept with the help of ,lines, angles, ray,and Transversal .

→So,yes, If two angles form a linear pair,sum of their measures will be 180°,but if two angles are supplementary, it does not guarantee that they will form a linear Pair.

divyamadaan8054 divyamadaan8054 · Answer 2 · 2021-10-19T05:30:22+02:00

If two angles form a linear pair,sum of their measures will be [tex]180^\circ[/tex], but if two angles are supplementary, it does not guarantee that they will form a linear Pair.

Premises: If two angles form a linear pair, then they are supplementary.

If two angles are supplementary, then the sum of their measures is .

Conclusion: If two angles form a linear pair, then the sum of their measures is [tex]180^\circ[/tex].

The statement is always true that,if two angles form a linear pair ,then they are supplementary.

о Linear pair Axiom states that,if a ray cuts a line ,then sum of adjacent angles on the same side of ray is [tex]180^\circ[/tex]

о The supplementary angles is states that sum of two angles should be equal to [tex]180^\circ[/tex].

From the figure,

о If two angles ∠[tex]1[/tex] and ∠[tex]2[/tex] forms linear pair then [tex]\angle COB + \angle BOA=180^\circ[/tex], here ∠[tex]1[/tex] and ∠[tex]2[/tex] are supllementary also.

о But, if sum of two angles is , it does not guarantee that, they will form Linear Pair.

Therefore, If two angles form a linear pair,sum of their measures will be , but it does not guarantee that they will form a linear Pair, when two angles are supplementary.

Learn more about Linear pair and Supplementary angles here:

https://brainly.com/question/2396507?referrer=searchResults

Which statement is true about this argument? Premises: If two angles form a linear pair, then they are supplementary. If two angles are supplementary, then the sum of their measures is 180°. Conclusion: If two angles form a linear pair, then the sum of their measures is 180°.

Respuesta :

Otras preguntas

Which statement is true about this argument?

Premises: If two angles form a linear pair, then they are supplementary.
If two angles are supplementary, then the sum of their measures is 180°.

Conclusion: If two angles form a linear pair, then the sum of their measures is 180°.