In circle A shown below, BD with a line above is the diameter and the measure of arc CB is 54 degrees. What is the measure of an
gle DBC
2 answers:
The complete question in the attached figure
we know that
the triangle ACB is an isosceles triangle
AC=AB----------> equals to the radius
so
∡ACB=∡CBA
the angle ∡CAB is equals to 54° by central angle
so
180°=54°+2*∡CBA--------> ∡CBA=[180-54]/2-----> 63°
∡CBA=63°
∡DBC=∡CBA-----------> ∡DBC=63°
the answer is
∡DBC=63°
we know that
the triangle ACB is an isosceles triangle
AC=AB----------> equals to the radius
so
∡ACB=∡CBA
the angle ∡CAB is equals to 54° by central angle
so
180°=54°+2*∡CBA--------> ∡CBA=[180-54]/2-----> 63°
∡CBA=63°
∡DBC=∡CBA-----------> ∡DBC=63°
the answer is
∡DBC=63°
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We can see that
there are six sides
so, n=6
so, firstly we will find total angle
total angle =(n-2)*180
total angle =(6-2)*180
total angle =720
so, sum of all angles must be 720
so, we get
now, we can solve for x
.............Answer