A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
In the circle shown below, segment BD is a diameter and the measure of arc CB is 36°. What is the measure of ∠DBC?
Solution:
Give, BD is the diameter
Measure of arc CB is 36°.
The triangle ABC is an isosceles triangle.
In an isosceles triangle, two sides and two angles are equal.
From the figure,
AC = AB → radius of the circle
∠DBC = ∠ACB → angles of the base of the isosceles triangle
∠CAB = 36° → vertex angle of the isosceles triangle
We know, sum of interior angles = 180°
So, ∠CAB + ∠DBC +∠ACB = 180°
Since, ∠ACB = ∠DBC
36° + 2∠DBC = 180°
2∠DBC = 180°- 36°
∠DBC = 154°/2
∠DBC = 72°
Therefore, the measure of ∠DBC is 72°.
In the circle shown below, segment BD is a diameter and the measure of arc CB is 36°. What is the measure of ∠DBC?
Summary:
In the circle shown, segment BD is a diameter and the measure of arc CB is 36°. The measure of ∠DBC is 72°.
Math worksheets and
visual curriculum
visual curriculum