sadiya2008
sadiya2008 sadiya2008
  • 12-11-2021
  • Mathematics
contestada

ABC is a triangle
AB = AC and BA is parallel to CD
Work out the size of the angle marked x

ABC is a triangle AB AC and BA is parallel to CD Work out the size of the angle marked x class=

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prachidhruw07
prachidhruw07 prachidhruw07
  • 12-11-2021

Step-by-step explanation:

so as ∆BCE is a right angled triangle

angle BEC = 90°

angle CBE = 22° (given)

apply angle sum property of triangle

so according to that

BCE + CBE + ECB = 180

22° + 90° + ECB = 180

102° + ECB = 180

ECB = 180 - 102

ECB = 78°

and also we know, that exterior angle of a triangle is equal to 2 interior angle of triangle,

so ,

x = 78°

hope this answer helps you dear! take care

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