Step-by-step explanation:
#1.
vertical angles are the 2 opposite angles that are formed when 2 lines intersects.
so these are the vertical angles:
<1 and <3
<2 and <4
#2.
<a + <b = 180
40 + 2x = 180
2x = 180 - 40
2x = 140
x = 140/2
x = 70
<b = 2x
<b = 2(70)
<b = 140°
alternate solution:
40 + <b = 180
<b = 180 - 40
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Answers & Comments
Step-by-step explanation:
#1.
vertical angles are the 2 opposite angles that are formed when 2 lines intersects.
so these are the vertical angles:
<1 and <3
<2 and <4
#2.
<a + <b = 180
40 + 2x = 180
2x = 180 - 40
2x = 140
x = 140/2
x = 70
<b = 2x
<b = 2(70)
<b = 140°
alternate solution:
<a + <b = 180
40 + <b = 180
<b = 180 - 40
<b = 140°