Question

Find the measure of pkt​

Answer 1

32°

Explanation:

You want the measure of the smaller angle of the linear pair marked (3g+23) and (7g+127).

Linear pair

The angles of a linear pair total 180°, so we have ...

(3g +23) +(7g +127) = 180

10g = 30 . . . . . . . . . subtract 150

g = 3 . . . . . . . . . divide by 10

The smaller angle is ...

∠PKT = (3·3 +23)°

∠PKT = 32°