## The vertical angle of an isosceles triangle is 30° more than its base angle. Find all the angles of the triangle​

Question

The vertical angle of an isosceles triangle is 30° more than its base angle. Find all the angles of
the triangle​

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2 weeks 2021-09-09T06:10:24+00:00 2 Answers 0 views 0

50

Step-by-step explanation:

let the traingle be ABC where angle A is 30°more than base angle

let the base angle be x

both angle B and C are equal as angle opposite to equal side are equal

so A=30°+x

B=x

C=x

A+B+C=180°(angle sum property)

x+30+x+x=180°

3x=180-30

3x=150

x=50

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2. Step-by-step explanation:

Base angles = x

Vertical angle = x + 30°

x + x + x + 30° = 180° (Angle Sum property)

3x + 30° = 180°

3x = 180° – 30°

3x = 150°

x = 150°/3

x = 50°

Both base angles = 50°

Vertical angle = x + 30°

= 50° + 30°

= 80°