Question

Find the value of x in each case.

Answer 1

Answer:

• First pic

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

• Second pic:

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

Answer 2

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