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34 votes
Find A and the reason

Find A and the reason-example-1
User Nezam
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1 Answer

17 votes
17 votes

We see that Triangle ABC is an isosceles triangle which means:

  • Sides BA and BC are equal in length
  • Angle BAC and BCA are equal

We see that Angle BCD and Angle BCA are on a straight line, which means that both of the angles' measures are equal to 180 degrees

--> in equation form:

Angle BCD + Angle BCA = 180

118 + Angle BCA = 180

Angle BCA = 62 degrees

Since Angle BCA and BAC are equal, then Angle BAC or Angle A in this case is 62 degrees

Hope that helps!

User Elena
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