Question

Find the value of x in each of the following diagram
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Answer 1

Answer:

i- 35 degree

ii- 25 degree

iii- 70 degree

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Answer 2

Q → Find the value of x in each of the diagram. (Refer the attachment)

(i) Exterior Angle is 105°

$\sf ⇝a = 180° - 105° = 75°$ (Exterior Angle Property)

We know that,

Sum of all angles in a triangle is 180°.

So,

$\sf →x + 2x + a = 180°$

$\sf →3x + 75° = 180°$

$\sf →3x = 180° - 75°$

$\sf →3x = 105°$

$\sf →x = \frac{105}{3} = 35°$

Now,

• x = 35°
• 2x = 2 × 35 = 70°

(ii) Exterior Angle is 125°

$\sf ⇝b = 180° - 125° = 55°$ (Exterior Angle Property)

We know that,

Sum of all angles in a triangle is 180°.

So,

$\sf →3x + 2x + b = 180°$

$\sf →5x + 55° = 180°$

$\sf →5x = 180° - 55°$

$\sf →5x = 125°$

$\sf →x = \frac{125}{5} = 25°$

Now,

• 2x = 2 × 25 = 50°
• 3x = 3 × 25 = 75°

(iii) Angles given are 60°, 50° and x.

We know that,

Sum of all angles in a triangle is 180°.

So,

$\sf →60° + 50° + x = 180°$

$\sf →110° + x = 180°$

$\sf →x = 180° - 110°$

$\sf →x = 70°$

Hence, x is equal to 70°.