Question

Find the value of x in each case.

Answer 1

x= 57.5 in the first one
x= 20.66 in the second one

Answer 2

• First pic

`{ \tt{4x + 65 \degree + x = 180 \degree}} \\ \dashrightarrow \: { \sf{ \{angles \: on \: straight \: line \}}} \\ \\ { \tt{5x + 65 \degree = 180 \degree}} \\ \\ { \tt{5x = 180 \degree - 65 \degree}} \\ \\ { \tt{x = ((115)/(5) ) \degree}} \\ \\ \dashrightarrow \: { \boxed{ \tt{ \: \: x = 23 \degree \: \: }}}`

• Second pic:

`{ \tt{(180 \degree - 124 \degree) + 2x = 6x}} \\ \dashrightarrow \: { \sf{ \{interior \: angle \: sum equivexterior \: angle \} }} \\ \\ { \tt{56 \degree = 6x - 2x}} \\ \\ { \tt{4x = 56 \degree}} \\ \\ { \tt{x = ( (56)/(4) ) \degree}} \\ \\ \dashrightarrow \: { \boxed{ \tt{x = 14 \degree}}}`