Assertion: If AB || CD and t is the transversal as shown, then ∠3 = ∠5.

Reason: If a ray stands on a straight line, then the sum of the adjacent angles so formed is 180°.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

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Solution

(d) Assertion is false and Reason is true.

Assertion:
$∠ 3 + ∠ 5 = 180 ° [Consecutive Interior Angles]$
If the sum of two angles is 180^o, it is not necessary that they are equal.
Hence, the Assertion is false.
Reason: "If a ray stands on a straight line, then the sum of the adjacent angles so formed is 180°."
Clearly, the given statement is true.

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Similar questions

Q. Assertion: If a ray

\vec{C D}

stands on a line

\vec{A B}

, such that ∠ACD = ∠BCD, then ∠ACD = 90°.
Reason: If a ray

\vec{C D}

stands on a line

\vec{A B}

, then ∠ACD + ∠BCD = 180°.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Q. Assertion: Ray

\underset{A B}{\to}

has one end-point A.
Reason: Line segment

A B

has two end-points A and B.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Q. Assertion: If the side BC of ∆ABC is produced to D, then ∠ACD = ∠A + ∠B.
Reason: The sum of the angles of a triangle is 180°.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Assertion: If $a \neq b$ , then $(a, b) \neq (b, a)$ .
Reason: $(4, - 3)$ lies in Quadrant $I V$
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Q. Assertion: If two angles of a triangle measure 50° and 70°, its third angle is 60°.
Reason: The sum of the angles of a triangle is 180°.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

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