Question

Please help

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

Answer 1

• 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°