Question

Please solve this problem.​

Answer 1

`{ \tt{(3x + 5) + (7x + 5) = 180}} \\ \\ { \tt{(3x + 7x) + (5 + 5) = 180}} \\ \\ { \tt{10x + 10 = 180}} \\ \\ { \tt{10x = 170}} \\ \\ { \boxed{ \tt{x = 17}}}`

• Angle 1 = Angle 4

`{ \tt{ \angle 1 = \angle 4 = 3x + 5}} \\ \\ { \tt{\angle 1 = \angle 4 = (3 * 17) + 5}} \\ \\ { \boxed{ \rm{\angle 1 = \angle 4 = 56 \degree}}}`

• Angle 2 = Angle 3

`{ \tt{\angle 2= \angle 3 = 7x + 5}} \\ \\ { \tt{\angle 2 = \angle 3 = (7 * 17) + 5}} \\ \\ { \boxed{ \rm{\angle 2 = \angle 3 = 124 \degree}}}`

Answer 2

`\\ \sf\longmapsto 3x+5+7x+5=180`

`\\ \sf\longmapsto 10x+10=180`

`\\ \sf\longmapsto x+1=18`

`\\ \sf\longmapsto x=17`

• <1=<4=3(17)+5=51+5=56°
• <2=<3=7(17)+5=119+5=124°