Find the value of ‘x’ in the given triangles. – InterviewSolution

InterviewSolution

1.

Find the value of ‘x’ in the given triangles.

Answer»

In ∆CUT,

∠C = 64°, ∠U = 46° and exterior angle

∠CTE = x =? ∠C + ∠U + ∠T= 180°

⇒ 64° + 46° + ∠T = 180°

⇒ 110° + ∠T= 180°

⇒ 110° + ∠T – 110° = 180°- 110°

∠UTC = ∠T = 70°

∠UTC + ∠CTE = 180° (linear pair of angles)

⇒ 70° + x° = 180°

⇒ 70° + x° – 70° = 180°-70°

∴ x = 110°

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