greenariana greenariana
  • 03-05-2020
  • Mathematics
contestada

In ΔABC what is the value of x?

In ΔABC what is the value of x class=

Respuesta :

JK94 JK94
  • 03-05-2020

Answer:

x = 70

Step-by-step explanation:

112°, y and z are the angles inside triangle.

112 + y + z = 180

y + z = 180 - 112

y + z = 68 (I)

{2x + y = 180

{2x + 12 + z = 180

2x + y = 2x + 12 + z

y = z + 12 (II)

Changing (II) in (I):

y + z = 68

z + 12 + z = 68

2z + 12 = 68

2z = 68 - 12

2z = 56

z = 28

y = z + 12

y = 28 + 12

y = 40

2x + y = 180

2x + 40 = 180

2x = 180 - 40

2x = 140

x = 70

I hope I've helped you.

Answer Link
samimaejo3006
samimaejo3006 samimaejo3006
  • 03-05-2020
X= 70 have a blessed day!
Answer Link

Otras preguntas

Find the area of a triangle whose two sides are 12 inches and 14 inches long, and has a perimeter of 34 inches. A. 23.24 in² B. 47.91 in² C. 24.74 in² D. 79.84
Mr. Green just spent $11.95 on a haircut. About how much should he leave for a 15% tip?
Can somebody help me
HELLPPPPPPPPPPPP,,,,,,,,,,,
Read the background on energy policy and President Trump's speech on the Paris Agreement. How should government balance consumer demand for energy and environme
what is the mood of mrs. flowers by maya angelou
Which 3 types of customer statements can QuickBooks Online generate?
Given: AABC, AC = 5 m C = 90° m A= 22° Find: Perimeter of AABC A C B
8. No sooner ________ the news ________ she fainted. A. she had heard/than B. had she heard/when C. did she hear/when D. had she heard/than
find the number of size of a polygon .if each interior angle is 150°​