Question

If x degree and 60 degree are in linear pair then what is the value of X

Answer 1

Answer:

$sum \: of \: linear \: pair = 180 \\ so \: x + 60 = 180 \\ x = 180 - 60 \\ x = 120$

Answer 2

Two angles are said to be linear if they are adjacent and are formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

As ∠POR and ∠QOR are forming a linear pair and the difference between the angles ‘a’ and ‘b’ is 80°, therefore, b = (a – 80)

a + b = 180° (linear pair)

a + (a – 80) = 180°

a + a – 80 = 180°

2a = 260°

a = 130°

Therefore, b = (a – 80) =130 – 80 = 50°

Hence, the answer is (b) a = 130°, b = 50°