- Assertion A Reason R- If three angles of a quadrilateral The sum of all the angle of a- are-130-70-and-60-then the quadrilateral is-360- fourth angle is-100- - - The correct answer is- a-b-c-d-

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Standard IX

Mathematics

Angle Sum Property of a Quadrilateral

[ Assert...

Question

$\begin{matrix} Assertion (A) & Reason (R) If three angles of a quadrilateral & The sum of all the angle of a are 130^{\circ}, 70^{\circ} a n d 60^{\circ} then the & quadrilateral is 360^{\circ} . fourth angle is 100^{\circ} . \end{matrix}$
The correct answer is: (a)/(b)/(c)/(d).

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Solution

ANSWER:
(a)
Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
Explanation:
Fourth angle = 360 $^{\circ}$ − (130 $^{\circ}$ + 70 $^{\circ}$ + 60 $^{\circ}$ ) = 100 $^{\circ}$
Clearly, reason (R) and assertion (A) are both true and the reason gives the assertion.
Hence, the correct answer is (a).

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Assertion (A) Reason (R) If three angles of a quadrilateralThe sum of all the angle of aare 130∘, 70∘ and 60∘ then thequadrilateral is 360∘.fourth angle is 100∘. The correct answer is: (a)/(b)/(c)/(d).

ANSWER: (a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion. Explanation: Fourth angle = 360∘− (130∘+ 70∘ + 60∘ ) = 100∘ Clearly, reason (R) and assertion (A) are both true and the reason gives the assertion. Hence, the correct answer is (a).

$\begin{matrix} Assertion (A) & Reason (R) If three angles of a quadrilateral & The sum of all the angle of a are 130^{\circ}, 70^{\circ} a n d 60^{\circ} then the & quadrilateral is 360^{\circ} . fourth angle is 100^{\circ} . \end{matrix}$
The correct answer is: (a)/(b)/(c)/(d).