Math, asked by dhruvigangwar995, 2 months ago

16) The vertical angle of an
isosceles triangle is 15° more than
each of its base angles. Find each
angle of the triangle.​

Answers

Answered by arnavmishra2811
0

Answer:

70°

Step-by-step explanation:

In an isosceles triangle,

Vertical angle =15°greater than each base angles.

Let each base angle =x

Then vertical angle =x+15°

 

Now sum of angles of a triangle=180° x+15° +x+x=180°

 ⇒3x+15°  

=180°  

 ⇒3x=180   −15°   =165°  

 ⇒x=55°

Each base angle =55°  

 and vertical angle =55   +15°   =70°

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