Question

 In the figure, ABCD is an isosceles trapezium.
OC = 3x - 5. OD = 2x + 4 and OB = x + 1. then x is (A) 6 (B) 7 (C) 8 (D) 9​. ​

Answer 1

Step-by-step explanation:

option D

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Answer 2

Answer:

Concept :

An isosceles trapezoid, or isosceles trapezium in British English, is a convex quadrilateral in Euclidean geometry that has a line of symmetry cutting through one pair of opposite sides. It is an uncommon instance of a trapezoid. Alternately, it can be described as a trapezoid with equal amounts of both the base angles and the legs. [1] Note that the second requirement, or the fact that it lacks a line of symmetry, prevents a non-rectangular parallelogram from being an isosceles trapezoid. Two opposite sides (the bases) of each isosceles trapezoid are parallel, while the remaining two sides (the legs) are each the same length (properties shared with the parallelogram). Additionally, the diagonals are the same length. An isosceles trapezoid has equal-sized base angles.

Explanation:

Given:

OC = 3x-5

OD = 2x+4

OB = x+1

To find :

x

Solution :

∆DOB ~ ∆COB

$\frac{2x + 4}{3x -5}$   =  $\frac{x + 1 }{x + 1}$

2x+4 = 3x-5

x=9

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