Question

What are the sizes of angles a, b, c and d? ​

Answer 1

a = 26°

b = 48°

c = 26°

d = 106°

Explanation:

`c + {154}^(o) = {180}^(o) \\ c = {180}^(o) - {154}^(o) \\ c = {26}^(o)`

a = c (Alternate angles)

`a = {26}^(o)`

`b = {48}^(o)`

Corresponding angles

(a + d) + b = 180° (Interior angles)

`{26}^(o) + d + {48}^(o) = {180}^(o) \\ d + {74}^(o) = {180}^(o) \\ d = {180}^(o) - {74}^(o) \\ d = {106}^(o)`