Question

A star-patterned quilt has a star with the angles shown. What is the value of X? The diagram is not to scale.

Answer 1

I want to say 81°

Here's how I found that:

The angle 105° is on a straight line showing the outer obtuse angle. A straight line is 180°.
180-105=75.
Therefore that inner angle of the 105° is 75°.

We are also given the top angle of 24°.

All 3 angles of a triangle should add up to 180. So, we get the 75+24=99
180-99=81

Last angle should be 81°