Question

In the given figure, AD divides
BAC
in the ratio 1: 3 and
AD=DB .​

Answer 1

Answer:

x = 46

Step-by-step explanation:

So BAC is divided by AD in the ratio 1 : 3

So let the measure be y so the parts of BAC are 1y and 3y

1y + 3y + 108 = 180 Linear pair

4y + 108 = 180

4y = 180 - 108

4y = 92

y = 92/4

y = 23

1y = 23

3y = 23 × 3

3y = 69

As AD = DB

Triangle ADB is an icoseles triangle

Angle Sum property

Angle BAD and Angle B are equal as ADB is an isoceles triangle

Angle BAD + B + D = 180

23 + 23 + D = 180

46 + D = 180

D = 180 - 46

D = 134

Angle BDA + ADC = 180

134 + ADC = 180

ADC = 180 - 134

ADC = 46

x = 46