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Help me to find the value of x, please

Help me to find the value of x, please-example-1

2 Answers

8 votes

Answer:

x = 4

Explanation:

The easiest way to do this is to look at the vertical angles. (15x)º has its own vertical angle, and the part with (8x-2)º and 90º does as well.

Also, every angle will add up to 360º, which is a crucial part of the equation

Do 15x + 15x + 90 + 90 + 8x - 2 + 8x - 2 = 360

This can be simplified into this once you combine like terms:

46x + 176 = 360

Subtract 176 from 360, which will give you:

46x = 184

Divide by 46 on both sides, resulting in:

x = 4

To check the answer, plug in 4 for x:

15(4) + 15(4) + 90 + 90 + 8(4) - 2 + 8(4) - 2 = 360

60 + 60 + 90 + 90 + 32 - 2 + 32 - 2 = 360

120 + 180 + 60 = 360

360 = 360, x is 4

Hope this made sense!

User Justanr
by
8.4k points
7 votes
Add all the values and set them equal to 180. This is because they make a straight angle. So...

15x + 90 + 8x-2 = 180
23x + 88 = 180
23x = 92
x = 4
User Prabhat Mishra
by
8.3k points

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