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If the Angles (2x −10)° and (X − 5)° Are Complementary Angles, Find X. - Mathematics

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प्रश्न

If the angles (2x −10)° and (x − 5)° are complementary angles, find x.

उत्तर

Given that,

(2x -10)° and ( x - 5)° are complementary angles.

Let x be the measured angle.

Since the angles are complementary

∴ Their sum will be 90°

⇒ (2x -10) + ( x - 5) = 90°

⇒ 3x -15 = 90

⇒ 3x = 90° +15°

 ⇒ x = `(105°)/3 = (105°)/3` = 35°

⇒ x = 35°

 

 

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अध्याय 10: Lines and Angles - Exercise 10.1 [पृष्ठ ७]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 10 Lines and Angles
Exercise 10.1 | Q 8 | पृष्ठ ७

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