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padilas [110]
3 years ago
14

Use the image below to answer the following parts.

Mathematics
1 answer:
12345 [234]3 years ago
6 0

Answer:

Step-by-step explanation:

Part A

Since, the given angles are formed at a point are on a straight line, sum of these angles will be 180°.

Part B

(3x - 5)° + (4x + 2)° + (2x + 3)° = 180°

9x = 180

x = 20

Part C

m∠ADB = (3x -  5)°

             = (3×20 - 5)°

             = 55°

m∠DBK = (4x + 2)°

             = (4×20 + 2)°

             = 82°

m∠KBC = (2x + 3)°

             = (2×20 + 3)°

             = 43°

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Answer:

Angle Q is 51°

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Step-by-step explanation:

Exterior Angle Theorem says that angle that's outside the triangle (extend a side and see the angle between the side extension and the side) IS Equal to the sum of the two angles that are farther away.

17x - 1 = 33 + 10x + 1

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17x-10x - 1 = 33 + 10x-10x+1

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2 years ago
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