contestada

8. In the accompanying diagram, isosceles triangle ABC is approximately equal to isosceles triangle DEF, m angle C = 5x, and m angle D = 2x + 18.Find m angle B and m angle BAG.m angle b =(2x + 18)m angle BAG=

8 In the accompanying diagram isosceles triangle ABC is approximately equal to isosceles triangle DEF m angle C 5x and m angle D 2x 18Find m angle B and m angle class=

Respuesta :

[tex]m\angle C=m\angle D[/tex][tex]\begin{gathered} 5x=2x+18 \\ 5x-2x=18 \\ 3x=18 \\ \text{divide both sides by 3} \\ x=\frac{18}{3} \\ x=6 \end{gathered}[/tex][tex]\begin{gathered} m\angle B=180-5(x)+5(x)\text{ (angle in a triangle)} \\ m\angle B=180-5(6)+5(6) \\ m\angle B=180-60=120^{\circ} \end{gathered}[/tex][tex]\begin{gathered} m\angle BAG=180-30\text{ (angle on a straight line)} \\ m\angle BAG=150^{\circ} \end{gathered}[/tex]

Otras preguntas