The diagram shows an isosceles triangle ABD and the straight line ABC. x:y=3:2 Work out the value of w.

Question

Answer 1

Solving for

in the equation

gives us

.

Answer 2

## Step 1:In the given problem, we have an isosceles triangle

and a straight line

. In an isosceles triangle, the base angles are equal. Therefore, we have

.## Step 2:The problem also mentions that

. This means that the angle

is divided into 3 equal parts and the angle

is divided into 2 equal parts.## Step 3:Since the straight line

forms a linear pair with

and

, we know that the sum of these angles is

. Therefore, we have

.## Step 4:Substituting the ratio of

into the equation, we get

, where

is the common ratio.### Step 5:Solving the equation

gives us the value of

.

Question