Answer:
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Step-by-step explanation:
In fig 32,
line l | | line m ..........................given
Therefore,
52° = 4y°....................................Alternate exterior angles
y = 13°
4y° = x°.......................................Vertically opposite angles
4( 13 ) = x°
x = 52°
In fig 33,
10x + 5x = 180°........................Adjacent angles of parallelogram
15x = 180
x = 12°
10x° = 12y°................................opp. angles of parallelogram
120 = 12y
y = 10°
In fig 34,
42° = 3x°...................................Alt. int. angles
x = 14°
42° + 68° + 5y° = 180°..............Angle sum property of triangle
110 + 5y = 180
5y = 180 - 110
y = 70/5
y = 14°
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Answer:
if my answer helped you in any manner, please rate and thank. If this really helped you, mark BRAINLIEST! It helps.......
Step-by-step explanation:
In fig 32,
line l | | line m ..........................given
Therefore,
52° = 4y°....................................Alternate exterior angles
y = 13°
4y° = x°.......................................Vertically opposite angles
4( 13 ) = x°
x = 52°
In fig 33,
10x + 5x = 180°........................Adjacent angles of parallelogram
15x = 180
x = 12°
10x° = 12y°................................opp. angles of parallelogram
120 = 12y
y = 10°
In fig 34,
42° = 3x°...................................Alt. int. angles
x = 14°
42° + 68° + 5y° = 180°..............Angle sum property of triangle
110 + 5y = 180
5y = 180 - 110
y = 70/5
y = 14°