Question

if the base angles of an isosceles triangle are 30° more than the vertex angle, then find the measurements of all the angles of the triangle.​

Answer 1

Answer:

40,70,70

Step-by-step explanation:

in isosceles triangle two angles are same

when the vertex angle is 40°

then other two angles are 30° more

so 70°,70° so as to satisfy the condition (sum of all the angles in the triangle is 180°)

Answer 2

Step-by-step explanation:

let the vertex angle be x

now,the base angles are( x+30)and (x+30) degree respectively

according to the question

(X+30)+(x+30)+x=180(angle sum property of triangle)

=3x+60=180

=3x=180-60

=3x=120

X=120/3

X=40

vertex angle=40degree

base angles=40+30

=70degree

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