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27 votes
27 votes
Heyy could you help me out with this problem I'm stuck

Heyy could you help me out with this problem I'm stuck-example-1
User Jkike
by
2.9k points

1 Answer

22 votes
22 votes

Since congruent angles are equal

Therefore the two figures are similar

we have

9 / 9 = 2x / x + 4

introduce cross multiplication

9 (2x) = 9(x + 4)

18x = 9*x + 9*4

18x = 9x + 36

collect the like terms

18x - 9x = 36

9x = 36

divide boths sides by 9

9x / 9 = 36/9

x = 4

The first missing variable is 2x

2 x 4

= 8

The second is x + 4

we have 4 + 4

= 8

m

User Rajgopal C
by
3.4k points