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Determine the value of X in the picture ​

Determine the value of X in the picture ​-example-1

2 Answers

2 votes

Answer:


\Huge\boxed{x=93}

Explanation:

Hello There!

If you didn't know the sum of the exterior angles of a quadrilateral is 360

so to solve for x we use this equations

360 = 31 + 2x - 42 +x - 11 + x + 10

step 1 combine like terms

31 - 42 + 10 - 11 = -12

x + 2x + x =4x

now we have 360 = 4x - 12

step 2 add 12 to each side

360+12=372

-12 + 12 cancels out

now we have 372 = 4x

step 3 divide each side by 4

4x/4=x

372/4=93

we're left with x = 93

User Small Talk
by
4.8k points
3 votes

Answer:

21

Explanation:

42/2=21

21+10

21+11

31

User Olala
by
4.3k points