1.2.1 Angles and Lines II, PT3 Practice


1.2.1 Angles and Lines II, PT3 Practice

Question 1:
In Diagram below, PQRS, ABQC and KRL are straight lines.
Find the value of x.

Solution:


K R B + A B R = 180 o Sum of interior angles K R B + 105 o = 180 o K R B = 180 o 105 o K R B = 75 o B R Q = 40 o Corresponding angle x o = S R L = K R Q Vertically opposite angle x o = 75 o + 40 o = 115 o x = 115


Question 2:
(a) In Diagram below, PQR and SQT are straight lines.
Find the value of x.

(b) In Diagram below, PQRS is a straight line. Find the value of x.
Solution:
(a)
P Q T = R Q S x o + 90 o = 155 o x o = 155 o 90 o = 65 o x = 65

(b)
Q R T = 57 o x o + 2 x o = 180 o 57 o 3 x o = 123 o x o = 123 o 3 x o = 41 o x = 41


Question 3:
In Diagram below, PQR is a straight line. Find the value of x.
Solution:

x o = Q R T + T R S Q R T = 40 o T R S = 180 o 135 o = 45 o Hence, x o = 40 o + 45 o x o = 85 o x = 85


Question 4:
In Diagram below, find the value of x.
Solution:
40o + 80o + xo + xo = 180o
2xo = 180o – 120o
2xo = 60o
x= 30o
 x = 30


Question 5:
In Diagram below, PQR is an isosceles triangle and QRS is a straight line.
Find the values of x and y.

Solution:
P R Q = 180 o 110 o = 70 o P R Q = P Q R = 70 o y o = 180 o 70 o 70 o = 40 o y = 40 x o = 110 o 40 o = 70 o x = 70
 
 

One Comment to “1.2.1 Angles and Lines II, PT3 Practice”

  1. NICE!!!!

Leave a Reply

Your email address will not be published. Required fields are marked *