Angle P and angle Q form a linear pair. If angle P = 5x + 10`, angle Q = 130`, find x and the measures of angle P.

Solution:

The sum of the Linear pair of angles are equal to 180^o.

So 5x + 10 + 130 = 180

5x + 140= 180

5x = 180 - 140

5x = 40

x = 40/5 = 8

P = 5x + 10 = 5 x 8 + 10 = 40 + 10 = 50^o.

Ans: x = 8 P = 50^o.