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QUESTION IMAGE

find ( mangle t ) in rhombus ( stuv ).( mangle t = square^circ )submit

Question

find ( mangle t ) in rhombus ( stuv ).( mangle t = square^circ )submit

Explanation:

Step1: Adjacent angles sum to 180°

$(3x-49) + (3x+7) = 180$

Step2: Simplify the equation

$6x - 42 = 180$

Step3: Solve for x

$6x = 222 \implies x = 37$

Step4: Substitute x into ∠T's expression

$m\angle T = 3(37) + 7$

Step5: Calculate the final value

$m\angle T = 111 + 7$

Answer:

$118^\circ$