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guapka [62]
3 years ago
13

Find the measure of unknown angle​

Mathematics
2 answers:
Bumek [7]3 years ago
7 0

Answer:

The angle in the upper right quadrilateral corner = 68 degrees because vertical angles are equal.

Angle Y = 68 (opposite quadrilateral angles are equal).

All quadrilateral angles add to 360 so:

68 + 68 + x + z = 360 = 292

angle X + Z = 292

Therefore angle x = angle z = 146

Step-by-step explanation:

max2010maxim [7]3 years ago
5 0

Answer:

Step-by-step explanation:

angle Z = 68 degree (being alternate angles)

angle X = 68 degree (opposite angle of a parallelogram is equal)

y + z = 180 degree (sum of adjecent angles of a parallelogram is 180 degree)

y + 68 = 180

y = 180 - 68

y = 112 degree

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Number of books each of them have:

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Grant: x - 6
Ky: 3 (x - 6)

There are 176 books in total, so we can write it down as:

176 = x + x - 6 + 3 (x - 6)
176 = x + x - 6 + 3 * x + 3 * (-6)
176 = x + x - 6 + 3x - 18
176 = 2x - 6 + 3x - 18
176 = 5x - 24                        / + 24 (both sides)
5x = 200                              / ÷ 5 (both sides)
x = 40

Doublecheck:

Jamie: 40
Grant: 40 - 6 = 34
Ky: 3 (40 - 6) = 3 * 34 = 102

102 + 34 + 40 = 176, so it's correct :)
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