ASSERTION: The angles of a triangle are in the ratio 2 : 3 : 4. The largest angle of the triangle is 80°. REASON: The sum of all the interior angles of a triangle is 180° *
1 point
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
Answers
Answer:
d
Step-by-step explanation:
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Solution :-
Let us assume that, The angles of a triangle are 2x , 3x and 4x respectively .
So,
→ 2x + 3x + 4x = 180° { By angle sum property of a ∆.}
→ 9x = 180°
→ x = 20°
then,
→ Smallest angle = 2x = 2 * 20 = 40°
→ Second angle = 3x = 3 * 20 = 60°
→ Largest angle = 4x = 4 * 20 = 80° .
therefore,
→ ASSERTION: The angles of a triangle are in the ratio 2 : 3 : 4. The largest angle of the triangle is 80°.
- True .
→ REASON: The sum of all the interior angles of a triangle is 180° .
- True .
Hence, (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
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