24bejackson
Answered

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Please help Solve for x
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Please Help Solve For X Will Give Brainliest class=

Sagot :

Answer: x = 62.5 degrees

Step-by-step explanation:

Angle DEC is adjacent to the angle measuring 137 degrees, which means their sum is 180 degrees. Therefore:

Angle DEC + 137 = 180

We can subtract 137 from both sides:

Angle DEC = 43 degrees

We know that the sum of the angles in a triangle is 180 degrees, so we can set up an equation for triangle DEC.

We know Angle D + Angle C + Angle E = 180, so we can plug in the values given for each.

Therefore, x + 5 + x + 7 + 43 = 180

We can combine like terms:

2x + 55 = 180

Subtract 55 from both sides:

2x = 125

Divide both sides by 2:

x = 62.5 degrees

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