Advertisements
Advertisements
प्रश्न
In the given figure, if ABC is an equilateral triangle. Find ∠BDC and ∠BEC.
Advertisements
उत्तर
It is given that, ABC is an equilateral triangle
We have to find `angleBDC` and `angleBEC`
Since ΔABC is an equilateral triangle
So, `angleA = angleB = angleC = 60°`
And ABEC is cyclic quadrilateral
So `angle A + angle E = 180°` (Sum of opposite pair of angles of a cyclic quadrilateral is 180°.)
Then,
`angle E = 180° - 60°`
= 120°
Similarly BECD is also cyclic quadrilateral
So,
`angle E + angle D = 180°`
`angleD = 180° - 120°`
= 60°
Hence, `angle BDC `= 60° and `angle BEC = 120°`.
APPEARS IN
संबंधित प्रश्न
Prove that the intercept of a tangent between two parallel tangents to a circle subtends a right angle at center.
O is the centre of a circle of radius 10 cm. P is any point in the circle such that OP = 6 cm. A is the point travelling along the circumference. x is the distance from A to P. what are the least and the greatest values of x in cm? what is the position of the points O, P and A at these values?
In figure 1, O is the centre of a circle, PQ is a chord and PT is the tangent at P.
If ∠POQ = 70°, then ∠TPQ is equal to
In the given figure, ΔABC is an equilateral triangle. Find m∠BEC.
The length of three concesutive sides of a quadrilateral circumscribing a circle are 4 cm, 5 cm, and 7 cm respectively. Determine the length of the fourth side.
Find the length of the chord AC where AB and CD are the two diameters perpendicular to each other of a circle with radius `4sqrt(2)` cm and also find ∠OAC and ∠OCA
The ratio between the circumference and diameter of any circle is _______
Find the radius of the circle
Diameter = 30 cm
From the figure, identify two points in the interior.
Is every diameter of a circle also a chord?
