327,968 views
16 votes
16 votes
Please help me solve this problem ASAP

Please help me solve this problem ASAP-example-1
User DollarChills
by
2.8k points

1 Answer

25 votes
25 votes

Answer:

x = 4

Explanation:

You know that B = 100

E = 43 (Vertical angles are congruent)

Since vertical angles are congruent E = 43

Now that you have solved for 2 angles in the triangle you can set up an equation.

The interior angles of a triangle must add up to 180.

100+43+(10x-3)=180

(Simplify)

143+(10x-3)=180

(Subtract 143 from both sides)

10x-3=37

(Add 3 to both sides)

10x=40

(divide through by 10)

x=4

(Sorry if the explanation doesn't make sense. It's a bit hard to explain without a diagram. I hope this helped though!)

User Clarke
by
2.3k points