Help Po Asap Po Plsssss

Help po asap po plsssss

 

\text{Given m/\!\!/n. m and n are transversal lines}

(1)

\angle1\:and\:\angle5\:\text{are corresponding angles and are equal}\\\\m\angle1=m\angle2\implies9x+12=12x-21\\\\12x-9x=12+21\\\\3x=33\\\\\boxed{x=11}

(2)

\angle3\:and\:\angle6\:\text{are alternate interior angles and are equal}\\\\m\angle3=m\angle6\implies2x+3=3x-32\\\\3x-2x=32+3\\\\\boxed{x=35}

(3)

\angle4\:and\:\angle6\:\text{are same-side interior angles and are supplementary}\\\\m\angle4+m\angle6=180^{\circ}\implies(2x+5)+(x+25)=180\\\\3x+30=180\\\\3x=150\\\\\boxed{x=50}

(4)

\angle1\:and\:\angle7\:\text{are same-side exterior angles and are supplementary}\\\\m\angle1+m\angle7=180^{\circ}\implies(5x-1)+(4x+1)=180\\\\9x=180\\\\x=\dfrac{180}{9}\\\\\boxed{x=20}

(5)

\angle2\:and\:\angle7\:\text{are alternate exterior angles and are equal}\\\\m\angle2=m\angle7\implies10x-5=11x-17\\\\11x-10x=17-5\\\\\boxed{x=12}


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