Angles of degree measure (2x + 4) and (x - 1) are a linear pair of angles. Find them.

Given:

Angles measure (2x + 4) and (x - 1) are a linear pair of angles

Theory:

Linear pair of angles are the angles made on the same line

Straight line possesses 180°

⇒ 1^st angle measure (2x + 4)

⇒ 2^nd angle measure (x - 1)

As they are linear pair of angle their sum is 180°

(2x + 4) + (x - 1) = 180°

(2x + x) + (4 - 1) = 180°

3x + 3 = 180°

3x = 180° - 3 = 177°

x = = 59°

⇒ 1^st angle measure (2x + 4) =(2×59 + 4) = 122°

⇒ 2^nd angle measure (x - 1) = (59 - 1) = 58°