Question

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=

Answer 1

`m\angle C=m\angle D`
`\begin{gathered} 5x=2x+18 \\ 5x-2x=18 \\ 3x=18 \\ \text{divide both sides by 3} \\ x=(18)/(3) \\ x=6 \end{gathered}`
`\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}`
`\begin{gathered} m\angle BAG=180-30\text{ (angle on a straight line)} \\ m\angle BAG=150^(\circ) \end{gathered}`