Question

Calcuate x and y in triangle

step by step​

Answer 1

x = 180 - 50

X = 130 (linear pair)

y = 180 - x + c

y = 180 - 30 + 130

y = 180 - 160

y =

${20}^{o}$

Answer 2

Property to be used:-

$\longrightarrow$ $\underline\pink{\boxed{\sf Liner\:pair}}$

$\longrightarrow$ $\underline\purple{\boxed{\sf Angle\:sum\:property\:of\:a\:triangle}}$

Statement of Linear pair:-

• when two angles are adjacent to each other, they form a linear pair and their sum is equal to 180⁰

Statement of Angle sum property:-

• the 3 angles of a triangle sum up to 180⁰

Solution:-

:$\implies$ $\sf 50⁰+x = 180⁰$ ... ( Linear pair)

:$\implies$ $\green{\boxed{\sf x = 130⁰}}$

:$\implies$ $\sf x+y+30⁰ = 180⁰$ ... ( Angle sum )

:$\implies$ $\sf 130⁰+y+30⁰ = 180⁰$

:$\implies$ $\sf y +160⁰=180⁰$

:$\implies$ $\red{\boxed{\sf y = 20⁰}}$