Question

Find the measure of the missing angles. (someone help this is so urgent [cry])

Answer 1

`\large \sf \star \: \blue{Answer} \: \star`

`\small \sf \mapsto\: b = \fbox{77 °}`

`\small \sf \mapsto \: c = \fbox{ 103 °}`

Explanation:

Here,

• Angle b and 77° both are vertical angles . So, both angles are equal . b = 77 °

And,

• Angle b and angle c are on straight line so it's supplementary angles and we know that sum of all angles of supplementary angles is 180 °.

So, b + c = 180 °

77° + c = 180 ° ... { b = 77 -( vertical angle )}

subtract 77 from each sides

77 - 77 + c = 180 ° - 77 °

c = 103 °

Answer 2

b=77

c = 103

Explanation:

b and 77 are vertical angles and vertical angles are equal

b= 77

c and 77 are supplemental angles and supplemental angles add to 180

c+77 =180

c = 180-77

c =103