Question

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

Answer 1

Answer:

a = 26°

b = 48°

c = 26°

d = 106°

Step-by-step 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)

${26}^{o} + d + {48}^{o} = {180}^{o} \\ d + {74}^{o} = {180}^{o} \\ d = {180}^{o} - {74}^{o} \\ d = {106}^{o}$