Question

two angle of a linear pair are in the ratio of 2:7 find the angle.

Answer 1

Answer is 40 for one angle and 140 for another angle

Answer 2

Answer: The two angle of a linear pair are 40° and 140° when they are in the ratio of 2:7.

Step-by-step explanation:

In this question, it is given that two angles of a linear pair are in the ratio of 2:7
Angles are created when two lines cross each other at a single point, according to the definition of a linear pair. If the angles follow the intersection of the two lines in a straight line, they are also said to be linear. A linear pair's sum of angles are always equal to 180°.

Let the one angle in linear pair be 2x and the other angle be 7x.
⇒2x + 7x = 180°

⇒9x = 180°

⇒ x = 180°/ 9
⇒ x = 20°

Thus, the one angle = 2x = 2 x 20° = 40°
and the other angle = 7x = 7 x 20° = 140°

Hence, the two angles of a linear pair are 40° and 140° when they are in the ratio of 2:7 .

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