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if ( x = 67^{circ} ), find the measures of angles 1, 2, and 3. ( mangle…

Question

if ( x = 67^{circ} ), find the measures of angles 1, 2, and 3. ( mangle 1 = 113^{circ} ) ( mangle 2=square^{circ} )

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. Angle \(2\) and \(x = 67^{\circ}\) are vertical angles.

Step2: Determine the measure of \(\angle2\)

Since vertical angles are equal, \(m\angle2=x\).

Answer:

\(m\angle2 = 67^{\circ}\)