Answer:
Step-by-step explanation:
Welcome to Brainly!
Part a)
The figures shows two straight lines intersecting each other
The two angles measuring x and 5x are a pair of linear adjacent angles and therefore they are supplementary angles which means their sum must add up to 180°
x + 5x = 180
6x = 180
x = 180/6 => divide both sides by 6
x = 30
Part b)
All three angles must add up to 90°
x + 2x + 45 = 90
3x + 45 = 90
3x = 90- 45
3x = 45
x = 45/3
x = 15
Part c)
Sum of the four angles around the vertex must equal 360°
2x + x + 4x + 150 = 360
7x + 150 = 360
7x = 360 - 150
7x = 210
x = 210/7
x = 30
Hope that helps. If you need any clarifications, please ask via a comment to my answer.
