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Sum of the angles in a triangle= 180º

This gives: 55º + 75º + xº = 180º

Now in order to solve for ‘x’, we can add the numbers first.

This implies: 130º + xº = 180º

Hence, xº = 180º - 130º = 50º

Therefore the measure of the third angle, x = 50º

Given: Base length of the triangle, b = 12m

Height of the triangle, h = 15m

Area of the triangle, A = 1/2 * base * height

This gives: Area of the triangle, A = 1/2 * 12m * 15m

So area of the triangle = 90m

Therefore the area of the given triangle is 90 square meters.