Question

If abc=dec b=2x+31 and e=7x-24 x=?

Answer 1

Answer:

x = 11

Step-by-step explanation:

As it is stated the the both the triangle ABC and DEC are congruent, it means that all the angles forms in these triangles are also congruent. We can states that

<A = <D

<C = <C

<B = <E

As both angles B and E are equal to each other, we can equate them

<B = <E

Where <B = 2x+31 and <E= 7x-24, substitute both values in above expression:

2x + 31 = 7x - 24

Solve for x:

7x - 2x = 31 +24

5x = 55

x = 11