karleebell12
karleebell12 karleebell12
  • 17-01-2022
  • Mathematics
contestada

*
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 5what is the measure of lt1 45 60 120 125 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 17-01-2022

Answer:

∠ 1 = 120°

Step-by-step 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°

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