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in delta tuv,mangle t=(5x-3)^circ ,mangle u=(4x+4)^circ and mangle v=(x-11)^circ find mangle v

Question

In Delta TUV,mangle T=(5x-3)^circ ,mangle U=(4x+4)^circ and mangle V=(x-11)^circ Find mangle V

Solution

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Resposta

To find the measure of angle V in triangle TUV, we can use the fact that the sum of the angles in a triangle is always 180 degrees. Given:m∠T = (5x - 3)°m∠U = (4x + 4)°m∠V = (x - 11)°Step 1: Set up an equation using the sum of the angles in a triangle.(5x - 3) + (4x + 4) + (x - 11) = 180Step 2: Simplify the equation.10x - 10 = 180Step 3: Solve for x.10x = 190x = 19Step 4: Substitute the value of x back into the expression for m∠V.m∠V = (19 - 11)°m∠V = 8°Therefore, the measure of angle V in triangle TUV is 8 degrees.