hornanika1
hornanika1 hornanika1
  • 22-09-2021
  • Mathematics
contestada

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

What are the sizes of angles a b c and d class=

Respuesta :

rlesandisusanya
rlesandisusanya rlesandisusanya
  • 22-09-2021

Answer:

a = 26°

b = 48°

c = 26°

d = 106°

Step-by-step explanation:

[tex]c + {154}^{o} = {180}^{o} \\ c = {180}^{o} - {154}^{o} \\ c = {26}^{o} [/tex]

a = c (Alternate angles)

[tex]a = {26}^{o} [/tex]

[tex]b = {48}^{o} [/tex]

Corresponding angles

(a + d) + b = 180° (Interior angles)

[tex]{26}^{o} + d + {48}^{o} = {180}^{o} \\ d + {74}^{o} = {180}^{o} \\ d = {180}^{o} - {74}^{o} \\ d = {106}^{o} [/tex]

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