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Tpy6a [65]
2 years ago
7

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

Mathematics
1 answer:
Lilit [14]2 years ago
8 0

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}

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