Question

2. ABCD ies a trapeziun
in which ABIDC . Find the value of x and y​

Answer 1

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$\sf\small\red{Given:-}$

$\sf ABCD \: is \: a \: trapezium.$

$\sf \: \angle \: a \: + \angle \: b \: = 180^{\circ}$

$\sf\small\red{Solution:-}$

First find x,

$\sf\mapsto x + 20^{\circ} + 2x +10^{\circ} =180^{\circ}$

$\sf\mapsto \: 3x + 30 = 180^{\circ}$

$\sf\mapsto \: x = 180^{\circ}$

Now find y,

$\sf\mapsto \angle \: b \: + \angle \: c \: = 180^{\circ}[Their are. parellel]$

$\sf\mapsto \: y = 92^{\circ} + 180^{\circ}$

$\sf\mapsto \: y = 180 - 92^{\circ}$

$\sf\mapsto \: y = 88^{\circ}$

☀︎Ok ☀︎