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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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प्रश्न

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

योग

उत्तर

∠B = 40°, ∠A = 70°   ...(Given)

In ΔABC,

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

= 70° + 40°      

= 110°  

Hence, the measure of ∠ACD is 110°​.

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Remote Interior Angles of a Triangle Theorem
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Triangles - Practice Set 3.1 [पृष्ठ २७]

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बालभारती Geometry (Mathematics 2) [English] 9 Standard Maharashtra State Board
अध्याय 3 Triangles
Practice Set 3.1 | Q 1. | पृष्ठ २७
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