Question

(iii)
P
P
2x + 15°
2x + 15°
(PQ|| RS)
find the value of x​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

The value of x = 45° .

Step-by-step explanation:

Given,

The three angle of a triangle are x, x + 15°  and 2x -15°.

To find, the value of x​ = ?

The sum of angles in a triangle = 180°

∴ x + (x + 15) + (2x-15) = 180°

⇒ 4x + 15 - 15 = 180°

⇒ 4x = 180°

⇒ x = $\dfrac{180}{4}$= 45°

∴ x + 15°

= 45°  + 15°

= 60°  and

2x - 15° = 90° - 15° = 75°

Hence, the value of x = 45°.

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