Question

Find the unknown marked angles in the given figures.​

Answer 1

Step-by-step explanation:

angle y = 122+y = 180

= y = 180-122

= y = 58

angle z = 140+z = 180

= z = 180-140

= z = 40

angle x = x+y+z = 180

= x+58+40 = 180

= x+98 = 180

= x = 180-98

= x = 82

I HOPE IT WILL HELP YOU

Answer 2

$\sf z + 140 = 180 \: \: (linear \: pair)$

$\implies \sf z = 180 - 140$

$\orange{\therefore\sf z =40 \degree }...(1)$

$\tt \purple{similarly}$

$\sf y + 122 = 180 \: \: (linear \: pair)$

$\implies \sf y = 180 - 122$

$\orange{ \therefore \sf y = 58 \degree}...(2)$

$\tt \purple{by \: angle \: sum \: property}$

$\sf x + y + z = 180$

$\implies \sf x + 40 + 58 = 180 \: \: (from \: 1,2)$

$\implies \sf x + 98 = 180$

$\implies \sf x = 180 - 98$

$\orange{ \therefore \sf x =82°}$

HOPE IT HELPS!!