Question

Help doing a geometry problem

Answer 1

`\text{? = 30 }`

Here, we want to get the value of the indicated angle

We can see that the diameter encloses the part of the circle and that means the angle at the vertex of the triangle is 90 since the angle at the center is twice the angle at the circumference

Also, the vertex F equals the measure of the arc HG from angle-arc relationship

Thus, since the meausre of sum of the angles is a triangle is 180

We have it that;

`\begin{gathered} 60\text{ + ? + 90 = 180} \\ \text{? = 180-60-90 = 30} \end{gathered}`