14.6k views
5 votes
Can someone help me with this

Can someone help me with this-example-1
User Idaho
by
7.9k points

1 Answer

0 votes

Answer:

  • equation: (4x +8)° = (2x +3)° +51°
  • exterior angle: 100°

Explanation:

The relevant relation is "the exterior angle is equal to the sum of the remote interior angles." That means ...

(4x +8)° = (2x +3)° +51° . . . equation to solve for x

2x = 46 . . . . . . . . . . . . . divide by °, subtract 8+2x

x = 23 . . . . . . . . . . . . divide by 2

Then the exterior angle is ...

(4x +8)° = (4(23) +8)° = 100°

_____

Additional comment

Instead of solving for x, we can solve for (2x+3). We can do that by subtracting 5+2x from both sides to get 2x+3 = 49. Then the exterior angle is the sum 49+51 = 100 degrees. (We don't actually care about the value of x.)

User Antarus
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.