find the measure of the missing angles.\nanswer\nattempt 1 out of 3\ng = □° h = □°\nk = □° m = □°

find the measure of the missing angles.\nanswer\nattempt 1 out of 3\ng = □° h = □°\nk = □° m = □°

find the measure of the missing angles.\nanswer\nattempt 1 out of 3\ng = □° h = □°\nk = □° m = □°

Answer

Explanation:

Step1: Find ( g )

Use the property that adjacent angles on a straight line sum to ( 180^{\circ} ). ( g+109^{\circ}=180^{\circ} ) ( g = 180^{\circ}-109^{\circ}=71^{\circ} )

Step2: Find ( h )

( h ) and ( 109^{\circ} ) are vertical angles. Vertical angles are equal. ( h = 109^{\circ} )

Step3: Find ( m )

Use the property that adjacent angles on a straight line sum to ( 180^{\circ} ). ( m + 84^{\circ}=180^{\circ} ) ( m=180^{\circ}-84^{\circ}=96^{\circ} )

Step4: Find ( k )

( k ) and ( 84^{\circ} ) are vertical angles. Vertical angles are equal. ( k = 84^{\circ} )

Answer:

( g = 71^{\circ} ), ( h = 109^{\circ} ), ( k = 84^{\circ} ), ( m = 96^{\circ} )