Question

find x in following figure 125°,125°,X
​

Answer 1

Answer:

x = 110°

Step-by-step Explanation:

Here, two external angles are both 125°

Here, internal angle + external angle = 180°

[As they lie on same straight line.]

Both internal angles = 180° - 125° = 55°

Therefore sum of two internal angles = 55° × 2

= 110°

We know, sum of 3 angles of a triangle is 180°.

Thus, 3rd angle will be : 180° - 110° = 70°

Therefore, x will be = 180° - 70° = 110

Hope it helps. Thank you!

Answer 2

Given :  A triangle with exterior angles

125° , 125° and x°  

To Find :  Value of x

Solution:

Sum of all the exterior angles of a polygon is 360°

Hence 125°  + 125°  + x°  = 360°

=>  250° + x°  = 360°

=> x°  = 360°  - 250°

=> x°  = 110°

Hence Value of x is 110

Another method:

Exterior angle + interior angle = 180°   ( Linear pair)

Hence Interior angle =  180°  - Exterior angle

Hence All three interior angles are

180° - 125° , 180° - 125°  and 180° - x°

=> 55° , 55°  and 180° - x°

Sum of angles of a triangle is 180°

=> 55° + 55°  +  180° - x°  = 180°

=> 110° - x°  =  0

=> x° = 110°

Hence x = 110

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