Question
Find the value of the unknown $x$ in the diagram:
✓
Answer
From the given figure, we have
$1^{\text {st }}$ interior angle $=x, 2^{\text {nd }}$ interior angle $=30^{\circ}$ and $3^{\text {rd }}$ interior angle $=110^{\circ}$
Thus,
$x+30^{\circ}+110^{\circ}=180^{\circ} \text { (angle sum property of triangle) }$
$x+140^{\circ}=180^{\circ}$
$x=180^{\circ}-140^{\circ}$
$x=40^{\circ}$
Hence, the value of $x$ is $40^{\circ}$
$1^{\text {st }}$ interior angle $=x, 2^{\text {nd }}$ interior angle $=30^{\circ}$ and $3^{\text {rd }}$ interior angle $=110^{\circ}$
Thus,
$x+30^{\circ}+110^{\circ}=180^{\circ} \text { (angle sum property of triangle) }$
$x+140^{\circ}=180^{\circ}$
$x=180^{\circ}-140^{\circ}$
$x=40^{\circ}$
Hence, the value of $x$ is $40^{\circ}$
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