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

What are the sizes of angles a, b, c and d? ​-example-1
User Olisa
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1 Answer

4 votes

Answer:

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)

User Yafa
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