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Kipish [7]
3 years ago
9

Can you help with this

Mathematics
1 answer:
Komok [63]3 years ago
8 0

Answer:

x = 27, and y = 47.

Step-by-step explanation:

AB is a line, so the measures of the angles measuring

2x + 1, 3x + 10, and 8/9 x + 10

add to 180 degrees. We can use that fact to find x.

2x + 1 + 3x + 10 + 8/9 x + 10 = 180

Add like terms on the left side except for the faction.

5x + 8/9 x + 21 = 180

Multiply both sides by 9.

45x + 8x + 189 = 1620

Add like terms on the left side. Subtract 168 from both sides.

53x = 1431

Divide both sides by 53.

x = 27

The angle measuring 3x + 10 is vertical with the angle that is made up of the measures y - 3 and y. Therefore, the sum of the measures y - 3 and y equals the measure 3x + 10. We know x, so we can find 3x + 10.

3x + 10 = 3(27) + 10 = 91

Now we set the sum of y - 3 and y equal to 91 and solve for y.

y - 3 + y = 91

2y - 3 = 91

2y = 94

y = 47

x = 27, and y = 47.

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