Question

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Answer 1

Answer:

The angles of triangle are 120°(vertex angle),

                                       30°,30°(base angles).

Step-by-step explanation:

Since the given triangle is isosceles, two angles would be same and let each of them be X.

Let the vertex angle be Y.

Given that vertex angle is 4 times each base angle,

i.e Y = 4X

Since these angles are of triangles their sum must be 180°.

Therefore,

X + X + Y = 180

2X + 4X = 180 ( since Y =4X)

6X=180

X=30°

also since Y = 4X,

Y=120°

Answer 2

Answer:

30°

Step-by-step explanation:

Let us say that the base angles are X

so the vertex angle of the triangle is 4X

so we know the three angles as X,X,4X

so X+X+4X = 180 (angle sum property of a triangle)

6X=180

X=180÷3

there fore X=30

the angle of the traingle is 30,30,120