Question

if line PR & ST are parallel to each other, find the value of angle x​

Answer 1

Answer:

80°

Step-by-step explanation:

angle PRT=40

PR and ST are parallel

Therefore RQ can be considered to be the transversal

angle PRT = angle STQ =40° (corresponding angles)

In triangle STQ

sum of angles= 180

angle STQ + 40° + angle TSQ =180°

40° + 40° + TSQ = 180°

TSQ = 180 - 80

angle TSQ = 100°

angle TSQ + x° = 180° ( straight line angles)

100° + x° = 180°

x° = 180° - 100°

x° = 80°