Question

In the given figure angleBACin the ratio of 1:3 and AD =DB determine the value of x

Answer 1

Solution: Let the ratio multiple be 3y and y.

As per the figure, 108+3y+y=180 (sum of angles of straight line).

This implies, 4y=180-108=72, => y=72/4 = 18.

Therefore, angle CAD = 3*18 =54 and total angle BAC = 54+18=72.

Now, in triangle BAC, 72 + 18 + x =180, => x =180-90 = 90.