6. In right triangle ABC, mZC=3y-10,m/B=y+ 40, and mZA= 90. What type of righttriangle is triangle ABC?1) scaleneisosceles3) equilateral6 Dear4) obtuse32.5y +40

Answer:scaleneStep-by-step explanation:step 1Find the value of ywe know thatThe sum of the interior angles in a triangle must be equal to 180 degreesIn this problemm∠A+m∠B+m∠C=180°substitute the given values[tex]90\°+(y+40)\°+(3y-10)\°=180\°[/tex]Solve for y[tex]4y+120=180[/tex][tex]4y=180-120[/tex][tex]4y=60[/tex][tex]y=15[/tex]step 2Find the measure of angle Bm∠B=(y+40)°substitute the value of ym∠B=(15+40)=55°step 3Find the measure of angle Cm∠C=(3y-10)°substitute the value of ym∠C=(3(15)-10)=35°The three interior angles are different so The three sides of the ABC triangle will also be differentthereforeThe right triangle ABC is scalene