Advertisements
Advertisements
प्रश्न
In a cyclic quadrilateral ABCD, if m ∠A = 3 (m ∠C). Find m ∠A.
Advertisements
उत्तर
It is given that
ABCD is cyclic quadrilateral and ` m angle A = 3 (m angle C ) `
We have to find `m angle A `
Since ABCD is cyclic quadrilateral and sum of opposite pair of cyclic quadrilateral is 180°.
So ` angle A + angle C = 180°`
And
`3angleC + angleC = 180°`
`4angleC = 180°`
`angleC = (180°)/4`
= 45°
Therefore
`angleA = 3 xx 45° `
= 135°
Hence `angle A = 135°`
APPEARS IN
संबंधित प्रश्न
In the given figure, PQ is a chord of length 8cm of a circle of radius 5cm. The tangents at P and Q intersect at a point T. Find the length TP
A quadrilateral is drawn to circumscribe a circle. Prove that the sums of opposite sides are equal.
In Fig. 4, a circle inscribed in triangle ABC touches its sides AB, BC and AC at points D, E and F respectively. If AB = 12 cm, BC = 8 cm and AC = 10 cm, then find the lengths of AD, BE and CF.
In the given figure, BDC is a tangent to the given circle at point D such that BD = 30 cm and CD = 7 cm. The other tangents BE and CF are drawn respectively from B and C to the circle and meet when produced at A making BAC a right angle triangle. Calculate (i) AF
Find the length of the chord of a circle in the following when:
Radius is 1. 7cm and the distance from the centre is 1.5 cm
Draw circle with diameter: 8.4 cm
In above case, measure the length of the radius of the circle drawn.
The tangent to the circumcircle of an isosceles triangle ABC at A, in which AB = AC, is parallel to BC.
Let s denote the semi-perimeter of a triangle ABC in which BC = a, CA = b, AB = c. If a circle touches the sides BC, CA, AB at D, E, F, respectively, prove that BD = s – b.
The tangent at a point C of a circle and a diameter AB when extended intersect at P. If ∠PCA = 110°, find ∠CBA see figure
From the figure, identify a chord.
