Answer:
3/5
Step-by-step explanation:
9/15=3/5
since 15 had an a you divide the girls over the people who had an A
Answer: 1. False. [∠XFG is lying between the one side and the line extended to the next side of the triangle, therefore it is an exterior angle.]
2.True. [∠EFG is lying between the two sides of the ΔEFG, therefore it is an interior angle of the triangle]
3.True. [∠FEZ is lying between the one side and the line extended to the other side of ΔEFG ]
4.False. [∠YGE is a straight line it is between the one side and the line extended to the same side ∴ it cannot be an exterior angle of the triangle ]
5. True.[∠EGF and FGY together make a straight line therefore they are supplementary angles]
6.False.[∠FEG and ∠FGE are both the interior angles of a triangle and we know that for supplementary angles they should lie on the same line or together make a straight line]
Answers:
- a = 64
- b = 112
- c = 78
- d = 88
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Explanation:
The 102 inscribed angle cuts off the arc that's composed of the 140 and 'a'.
Due to the inscribed angle theorem, we know that a+140 is exactly equal to twice that of 102.
This means,
a+140 = 2*102
a+140 = 204
a = 204-140
a = 64
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The angles 102 and c are inscribed angles opposite one another. They add to 180. This is true for any inscribed quadrilateral.
c+102 = 180
c = 180-102
c = 78
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Another useful rule is that the four angles of any quadrilateral always add to 360.
102+92+c+d = 360
102+92+78+d = 360
272+d = 360
d = 360-272
d = 88
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The inscribed angle d cuts off the arc a+b
This means 2d is the measure of a+b because of the inscribed angle theorem.
a+b = 2d
64+b = 2*88
64+b = 176
b = 176-64
b = 112