Advertisements
Advertisements
Question
In a cyclic quadrilateral ABCD, if m ∠A = 3 (m ∠C). Find m ∠A.
Advertisements
Solution
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
RELATED QUESTIONS
n Fig. 2, PQ and PR are two tangents to a circle with centre O. If ∠QPR = 46°, then ∠QOR equals:
(A) 67°
(B) 134°
(C) 44°
(D) 46°
In fig. a circle touches all the four sides of quadrilateral ABCD with AB = 6cm, BC = 7cm, CD = 4cm. Find AD.
Two concentric circles are of radii 6.5 cm and 2.5 cm. Find the length of the chord of the larger circle which touches the smaller circle.
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
AB and CD are two equal chords of a drde intersecting at Pas shown in fig. P is joined to O , the centre of the cirde. Prove that OP bisects ∠ CPB.
Mark two points A and B ,4cm a part, Draw a circle passing through B and with A as a center
The diameter of the circle is 52 cm and the length of one of its chord is 20 cm. Find the distance of the chord from the centre
C(O, r1) and C(O, r2) are two concentric circles with r1 > r2 AB is a chord of C(O, r1) touching C(O, r2) at C then ______
If A, B, C, D are four points such that ∠BAC = 30° and ∠BDC = 60°, then D is the centre of the circle through A, B and C.
Which is the longest straight line that can be drawn inside a circle?
