Question

In the following figures,calculate the unknown marked angles
guyz pls help​

Answer 1

Step-by-step explanation:

We need to use the angle sum property.

Sum of all angles of a ∆ = 180°

1.

$\displaystyle{ \mathrm{ \leadsto \: y + 80 + 20 = 180}}$

$\displaystyle{ \mathrm{ \leadsto \:y + 100 = 180 }}$

$\displaystyle{ \mathrm{ \leadsto \: y = 180 - 100}}$

$\displaystyle{ \mathrm{ \leadsto \:y = 80 }}$

$\therefore \sf{value \: of \: y = {80}^{ \circ} }$

2.

$\displaystyle{ \mathrm{ \leadsto \: b + 77 + 50 = 180}}$

$\displaystyle{ \mathrm{ \leadsto \: b + 127 = 180}}$

$\displaystyle{ \mathrm{ \leadsto \:b = 180 - 127 }}$

$\displaystyle{ \mathrm{ \leadsto \:b = {53}^{ \circ} }}$

$\therefore \sf{value \: of \: b \: is \: \pink{ {53}^{ \circ} }}$