Step-by-step explanation:
Given :-
In the adjacent figure, x:y:z = 2:3:4
To find :-
Find the value of z and p ?
Solution :-
Given that
In the adjacent figure, x:y:z = 2:3:4
Let x = 2a°
Let y = 3a°
Let z = 4a°
From the given figure,
x ,y and z are the angles on the same line
=> x + y + z = 180°
=> 2a° + 3a° + 4a° = 180°
=> 9a° = 180°
=> a° = 180°/9
=> a° = 20°
Therefore, a = 20°
Now
x = 2a° = 2×20° = 40°
y = 3a° = 3×20° = 60°
z = 4a° = 4×20° = 80°
and
x and p are linear pair
=> x + p = 180°
=> 40°+p = 180°
=> p = 180°-40°
=> p = 140°
Therefore, p = 140°
Answer :-
The value of z = 80°
The value of p = 140°
Used formulae:-
→ The sum of all angles lie on the same line is 180°
→ The sum of two adjacent angles is 180° are called Linear pair..
