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Maharashtra State BoardSSC (English Medium) 9th Standard

In the given figure, ∠ACD is an exterior angle of ΔABC. ∠B = 40°, ∠A = 70°. Find the measure of ∠ACD. - Geometry

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Question

In the given figure, ∠ACD is an exterior angle of ΔABC. ∠B = 40°, ∠A = 70°. Find the measure of ∠ACD.

Sum

Solution

∠B = 40°, ∠A = 70°   ...(Given)

In ΔABC,

∠ACD = ∠A + ∠B    ...(Remote interior angle theorem)

= 70° + 40°      

= 110°  

Hence, the measure of ∠ACD is 110°​.

shaalaa.com
Remote Interior Angles of a Triangle Theorem
  Is there an error in this question or solution?
Chapter 3: Triangles - Practice Set 3.1 [Page 27]

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