Question

Assertion: An angle is 14 degree more than its complementary angle, then angle is 52 degree
Reason : Two angles are said to be supplementary, if the sum of their measures is 180 degree

(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 and 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.
(1 Point)

Answer 1

Answer:

both A and R are true but not correct explanation

Step-by-step explanation:

52 - 14 = 38

52 + 38 = 90

so A is true

R is literally true as it is fact

However, R explains supplementary angles while A is related to complementary angles.

So R is not correct reasoning for A.

So Answer is B

Answer 2

Given : Assertion: An angle is 14 more than its complementary angle, then angle is 52°

Reason: Two angles are said to be supplementary if their sum of measure of angles is 180°

To Find :

Correct option

Solution :

Two angles are complementary if their measures add up to 90°

angle = x   then complementary angle = 90°- x

An angle is 14 more than its complementary angle,

=> x = (90°- x) + 14

=> 2x = 104°

=> x = 52°

Hence Assertion is correct

Reason: Two angles are said to be supplementary if their sum of measure of angles is 180°

Reason is correct

Both assertion and reason are correct but reason is not the correct explanation of assertion

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