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Please help

What is the value for X?
- 24
-9
-21
-14
what is the measure of <1?
- 45
- 60
- 120
-125

Please help What is the value for X? - 24 -9 -21 -14 what is the measure of <1? - 45 - 60 - 120 -125-example-1
User Edgarian
by
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1 Answer

5 votes

Answer:

  • x = 21
  • ∠1 = 120°

Explanation:

The two interior same-side angles are supplementary, so ...

... (5x +15)° +(3x -3)° = 180°

... 8x +12 = 180 . . . . . . . . . divide by °, collect terms

... 8x = 168 . . . . . . . . . . . . subtract 12

... x = 21 . . . . . . . . . . . . . . . divide by 8

Obtuse ∠1 has the same measure as its corresponding angle, (5x+15)°, so is ...

... ∠1 = (5·21 +15)° = 120°

User Crisoforo Gaspar
by
6.7k points