39.8k views
3 votes
I'm not too sure how to do this please help.

I'm not too sure how to do this please help.-example-1
User Bembo
by
3.6k points

2 Answers

1 vote

Explanation:

PART A) 14x + 7 + 9x + 3 + 44 degrees = 180 degrees

add the like terms together

23x + 10 degrees + 44 degrees = 180 degrees

23x + 54 degrees = 180 degrees ( i added the 10 and 44 together to make it easier for me to understand)

minus 54 from both sides:

23x + 54 degrees = 180 degrees

- 54 - 54

that leaves you with:

23x = 126

finally divide 126 degrees by 23 to get x all alone.

the answer is x = 5.47 but you can also round the answer up to 5.5.

PART B)

substitute the letter with the number:

14 × 5.5 or 5.47 = 77 + 7 = 84 degrees

User MatCas
by
3.8k points
10 votes

Answer:

Explanation:

14x + 7° = 44° + 9x + 3°( exterior angle of a triangle is equal to the sum of two opposite interior angles )

14x - 9x = 47° - 7°

5x = 40°

x = 8°

Now

< STW = 14x + 7° = 14 * 8° + 7° = 119°

User PaulWebbster
by
3.0k points