please help in finding angles
Answers
Answer:
7) w° = 127° , x° = 53°
8) x° = 98° , y° = 42° , z° = 40°
Step-by-step explanation:
I can answer only 7 and 8
7) 53° = x° [vertically opposite angles]
x° = 53°
53° + w° = 180° [Linear pair]
w° = 180° - 53°
w° = 127°
8) 98° = x° [vertically opposite angles]
x° = 98°
98° + 42° + w° = 180° [A triangle is equal to 180°]
140° + w° = 180°
w° = 180° - 140°
w° = 40°
w° = z° [Alternate angles]
z° = 40°
42° = y° [Alternate angles]
y° = 42°
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Step-by-step explanation:
In the first figure
w = 127 degrees. .........by linear pair
x = 53 degrees........ by vertically opposite angles
x + y = 180 degrees..... cointerior angles
53 + y = 180
Therefore, y = 180-53
y = 127 degrees
In the second figure
w + 42 + 98 = 180 ......by angle sum property of triangle
w + 140 = 180
there fore. w = 40 degrees
x = 98 degrees....... by vertically opposite angles
y = 42 degrees........ by alternate interior angles
z = w = 40 degrees...... by alternate interior angles
In the third figure
x + x + x = 360 degrees ....... addition of angles at a point
3x = 360
x = 360/3 = 120 degrees
x + y = 180 degrees..... by co interior angles due to parallel lines
120 + y = 180
there fore y = 180 - 120 = 60 degrees
Hence all the angles are found.
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