Answer:
The value of y = 62°
and x = 50°
Step-by-step explanation:
=> 57° + y + 61° = 180°
=> 118° + y = 180°
=> y = 180° - 118
=> y = 62°
Now ,
x° + y° + 67° = 180° { sum of angles of a triangle is 180° }
=> x° + 62° + 68° = 180°
=> x + 130° = 180°
=> x = 180° - 130°
=> x = 50°
Answer:
<h2>
i) Angle AOC is 95° </h2>
Reason:- Angle AOC is equal to Angle DOB since they are Vertically Opposite Angles.
<h2>
ii) Angle BOC is 85°</h2>
Reason:- Angle AOC + Angle BOC - 180° (they lie in a straight line so they are a linear pair. Sum of the angles will be 180°)
Angle AOC is 95°, So:-
95° + Angle BOC = 180°
Angle BOC= 180° - 95°
<h3><u>
Angle BOC = 85°</u></h3>
<u></u>
<h2>
iii) Angle DOE is 17°</h2>
Reason:- Angle AOE+ Angle DOE+ Angle DOB = 180° (they lie in a straight line so they're a linear pair. Sum of the angles will be 180°)
So,
68° + Angle DOE+ 95° = 180°
163° + Angle DOE = 180°
Angle DOE= 180° - 163°
<h3><u>
Angle DOE is 17°</u></h3>
5 5 2 2 0
ten thousands thousands hundreds tens ones
The first one is x=4.16z
The second one is x=1.16z
The third one is x=6z
