432,486 views
30 votes
30 votes
*

4. What is the value of x? (1 point)
O24
09
021
014

5-what is the measure of <1
45°
60°
120°
125°

* 4. What is the value of x? (1 point) O24 09 021 014 5-what is the measure of &lt-example-1
User Isaac Bolinger
by
2.3k points

1 Answer

16 votes
16 votes

Answer:

∠ 1 = 120°

Explanation:

5x + 15 and 3x - 3 are same- side interior angles and sum to 180° , then

5x + 15 + 3x - 3 = 180 , that is

8x + 12 = 180 ( subtract 12 from both sides )

8x = 168 ( divide both sides by 8 )

x = 21

Then

5x + 15 = 5(21) + 15 = 105 + 15 = 120

∠ 1 and 5x + 15 are corresponding angles and are congruent , so

∠ 1 = 120°

User Vikas Khunteta
by
3.4k points