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15 votes
15 votes
I need help with homework I got the picture with the questions and will send it to you

User Luiggi Mendoza
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1 Answer

13 votes
13 votes

3a.

DVA + AVB = 180 (straight line), so

75 + Angle AVB = 180

Angle AVB = 180 - 75

Angle AVB = 105 degrees

3b.

Angle DVC and Angle BVA are vertical angles.

Vertical angles form when we have a geometrical "X".

Vertical angles are equal so,

DVC = BVA

60 = 60

BVA = 60 degrees

3c.

BVC and CVD are in a straight line, so

BVC + CVD = 180

2x + 35 + 3x + 45 = 180

Let's solve for x:

5x + 80 = 180

5x = 100

x = 100/5

x = 20

Angle BVC = 2x + 35 = 2(20) + 35 = 40 + 35 = 75 degrees

Angle CVD = 3x + 45 = 3(20) + 45 = 60 + 45 = 105 degrees

User JDeuker
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3.2k points