Question

2. In triangle ABC, AB = AC and DB= DC. Find the ratio of angle ABD: angle ACD.​

Answer 1

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Answer:

The ratio of angle ABD and angle ACD is 1:1 .

Step-by-step explanation:

Given ,

AB = AC

DB = DC

It means the triangle is an equilateral triangle .

And

in equilateral triangle all sides are equal

When all sides are equal all angles are also equal.

So,

The angle A = 60 °

Angle B = 60 °

Angle C = 60 °

This because all angles are equal .

Let angle A be x

So, other angles is also equal

So,

x + x + x = 180°

3x = 180°

x = 180/3

x = 60°

Angle A is 60°

So, All angles are also 60° .

Line AD is perpendicular to line BC

So angle D = 90°

We have to find the ratio of angle ABD and angle ACD

Angle B ( ABD )= 60°

Angle C ( ACD ) = 60°

ABD/ACD

60/60

1/1

1:1 IS THE RATIO OF ANGLE ABD AND ANGLE ACD