5 Read the source text given below and answer any tour questions (1*4-4)
Maths teacher draws a straight line AB shown on the black board as per following
figure -
(1). Now he told Raju to draw another line CD as in the figure.
(). The teacher told Ajay to mark LAOD as 22.
(a) Suraj was told to mark LAOC as 4y.
(). Clive made an angle COE + 60°
(v). Peter marked 2BOE and LBOD as y and x respectively.
Now answer the following questions -
Answers
Given : teacher draws a straight line AB
Raju to draw another line CD intersecting AB
∠AOC = 4y
Draw n ∠COE = 60° between C and B
∠BOE = y , ∠BOD = x
To Find : Value of x , y and z
Solution:
∠AOC + ∠COE + ∠BOE = 180° ( linear pair) Straight line AB
4y + 60° + y = 180°
=> 5y = 120°
=> y = 24°
∠COE + ∠BOE + ∠DOB = 180° ( linear pair) Straight line CD
60° + y + x = 180°
=> 60° + 24° + x = 180°
=> x = 96°
or we could use x = 4y ( vertically opposite angle)
Hence x = 4(24) = 96°
x + 2z = 180° ( linear pair )
96° + 2z = 180°
=> 2z =84°
=> z = 42°
x = 96
y = 24
z = 42
Learn More:
In the given figure, anglePOM and angleQOM forms a linear pair. If x - 2y = 30 degrees, find x and y.
brainly.in/question/8406838
If one of the angles forming a linear pair is thrice that of the other ...
brainly.in/question/11456944
Step-by-step explanation:
What about the iv plssss