in an isosceles triangle the Vertical angle is 15 degree more than each of its base angles.. find the angles of the triangle
Answers
Answered by
277
Let the base angles be x
vertical angle=x+15
x+x+x+15= 180 ( angle sum property)
3x+15=180
3x=180-15
3x= 165
x=165/3
x=55
Therefore the angles are
55°, 55° ( base angles) and 70°( vertical angle)
hope it helps...
vertical angle=x+15
x+x+x+15= 180 ( angle sum property)
3x+15=180
3x=180-15
3x= 165
x=165/3
x=55
Therefore the angles are
55°, 55° ( base angles) and 70°( vertical angle)
hope it helps...
mysticd:
vertical angle = x+15, insert it between 1st and 2nd lines
Answered by
63
55,55,70
as the three angles are x,x,x+15(base angles of an isoceles triangle is the same)
so:
x+x+x+15=180(sum of a triangle = 180 degree)
=> 3x = 175
=> x=55
by replacing x we get the required angles
as the three angles are x,x,x+15(base angles of an isoceles triangle is the same)
so:
x+x+x+15=180(sum of a triangle = 180 degree)
=> 3x = 175
=> x=55
by replacing x we get the required angles
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