Question

Solve for x, given m<2 = 5x – 5 ​

Answer 1

`\\ \bull\tt\dashrightarrow 5x-5=74`

`\\ \bull\tt\dashrightarrow 5x=74+5`

`\\ \bull\tt\dashrightarrow 5x=79`

`\\ \bull\tt\dashrightarrow x=(79)/(5)`

`\\ \bull\tt\dashrightarrow x\approx 16`

Answer 2

• These is an isosceles triangle, meaning base angles are equal.

• let the upper angle of the first triangle be y;

`{ \tt{y + 74 \degree + 74 \degree = 180 \degree}} \\ \\ { \tt{y + 148 \degree = 180 \degree}} \\ \\ { \tt{y = 32 \degree}}`

• Therefore:

`{ \tt{m \angle 2 + y = 90 \degree}} \\ \\ { \tt{(5x - 5) + 32 = 90}} \\ \\ { \tt{5x + 27 = 90 }} \\ \\ { \tt{5x = 63}} \\ \\ { \tt{x = (63)/(5) }} \\ \\ { \boxed{ \tt{ \: \: x = 12.6 \: \: }}}`