Question

Assertion : Supplement of angle is one fourth of itself. The measure of the angle is 144˚. Reason : Two angles are said to be supplementary if their sum of measure of angles is 180˚. a) A and R are true and R is correct explanation of A.
b) A and R are true and R is not the correct explanation of A.
c) A is true but R is incorrect.
d) A is incorrect but R is true.

Answer 1

Answer:

a) A and R are true and R is correct explanation of A.

Answer 2

Solution :-

Let us assume that, the given angle is x .

So,

→ supplement of x = (1/4) of x

→ (180° - x) = (1/4) * x

→ 720° - 4x = x

→ 4x + x = 720°

→ 5x = 720°

→ x = 144°

So,

→ Assertion : Supplement of angle is one fourth of itself. The measure of the angle is 144˚.

• True .

and,

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

• True .

therefore, (a) A and R are true and R is correct explanation of A.

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