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The measure of angle CXO = 3x-4 and angle DXI = 5x+22. Find the measure of angle CXO.​

The Measure Of Angle CXO 3x4 And Angle DXI 5x22 Find The Measure Of Angle CXO class=

Sagot :

Angle CXO + Angle OXI + Angle DXI = 180

(3x - 4) + 90 + (5x + 22) = 180

8x + 108 = 180

8x = 180 - 108

8x = 72

x = 9

Angle CXO = 3x + 4 = 3(9) - 4 = 23°

Angle OXI = 90°

Angle DXI = 5x + 22 = 5(9) + 22 = 67°

Answer:

23

Step-by-step explanation:

first of all we need to get the value of X to get the measurement

note: that straight line is equal to 180 degrees

  1. Add the measurement of angle CXO, DXI, And OXI (Which is equal to 90 degrees)

now we have the equation:

3x-4+5x+22+90=180

arrange and simplify

8x+108=180

traspose

8x=180-108

8x=72

then divide to get the value of x

x=9

Then substitute the value of x to the equation of angle CXO

LET X BE= 9

CXO=3X-4

Substitute the value of X

CXO= 3(9)-4

CXO= 27-4

CXO=23

AGAIN GOOD DAY EVERYONE,

KAYA MO YAN!!