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QUESTION IMAGE

for the figure shown, find ( mangle1 ). (the figure is not drawn to sca…

Question

for the figure shown, find ( mangle1 ).
(the figure is not drawn to scale.)
( mangle1=square^{circ} )

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). Let \(m\angle1=x\). Then \(x + 61^{\circ}+47^{\circ}=180^{\circ}\).

Step2: Solve the equation for \(x\)

$$ LATEXBLOCK0 $$

Answer:

\(72\)