Question

figure is not drawn to scale.
△big is similar to △mop. find x.

Explanation:

Step1: Use the property of similar triangles

Since \(\triangle BIG\sim\triangle MOP\), the corresponding angles are equal.

Step2: Calculate the unknown angle

In a triangle, the sum of angles is \(180^{\circ}\). For \(\triangle BIG\), we know one angle is \(31^{\circ}\). For \(\triangle MOP\), we know one angle is \(103^{\circ}\).
Let's find \(x\): \(x = 180-(103 + 31)\)

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Answer:

\(46\)