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