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Math Asked by a SnapAndSolve user · about 2 hours ago

In ΔPQR, m∠P = (4x + 14)°, m∠Q = (x + 16)°, and m∠R = (3x − 2)°. What is the value of x?

In ΔPQR, m∠P = (4x + 14)°, m∠Q = (x + 16)°, and m∠R = (3x − 2)°. What is the value of x?

Answer

In a triangle, the sum of the interior angles is always 180°. Therefore, we can set up the equation:

(4x + 14) + (x + 16) + (3x − 2) = 180

Simplify the equation:

4x + 14 + x + 16 + 3x − 2 = 180
8x + 28 = 180

Subtract 28 from both sides:

8x = 152

Divide by 8:

x = 19

The value of x is 19.

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