In the given figure, lines m and n are parallel to each other. p and q are transversal intersecting the parallel lines. find the marked angles giving your reasons.
Answers
Lines and Angles is all about different lines, line segments, and angles.
A line segment has two end points.
A ray has only one end point (its vertex).
A line has no end points on either side.
This chapter throws light on topics such as related angles, pair of lines. The chapter deals with different types of angles and lines. The types of angles discussed in this chapter are as follows:
Pairs of Angles Condition
Two complementary angles Measures add up to 90°
Two supplementary angles Measures add up to 180°
Two adjacent angles Have a common vertex and a common arm but no common interior
Linear pair Adjacent and supplementary
x = 60° (Corresponding Angles)
y + 45 + 60 = 180 (60° is the vertically oposite angle of x)
y = 180 - 105 = 75°
60 + Y + Z = 180 (LINEAR PAIR)
60 + 75 + z = 180
z = 180 - 135 = 45°
- x = 60°
- y = 75°
- z = 45°