Question

Pls answer this It will help me understand this question

Answer 1

Answer:

${ \sf{60 \degree + r + 50\degree = 180\degree}} \\ { \sf{ \{angles \: on \: straight \: line \}}} \\ { \sf{r + 110\degree = 180\degree}} \\ { \underline{ \sf{r = 70\degree}}}$

${ \sf{q + 50\degree = 180\degree}} \\ { \sf{ \{angles \: on \: straight \: line \}}} \\ { \sf{q = 180\degree - 50\degree}} \\ { \underline{ \sf{q = 130\degree}}}$

${ \sf{p + q = 180\degree}} \\ { \sf{ \{angles \: on \: straight \: line \}}} \\ { \sf{p + 130\degree = 180\degree}} \\ { \sf{ \underline{p = 50\degree}}}$

or:

${ \underline{ \sf{p = 50\degree \: \{alternate \: angles \}}}}$

Answer 2

r:-

$\\ \rm\hookrightarrow r+60+50=180$(Supplementary)

$\\ \rm\hookrightarrow r+110=180$

$\\ \rm\hookrightarrow r=180-110$

$\\ \rm\hookrightarrow r=70$

p:-

$\\ \rm\hookrightarrow p=50(Opposite\: angles)$

q:-

$\\ \rm\hookrightarrow q=70+60(Opposite \:angles)$

$\\ \rm\hookrightarrow q=130$