Find the measure of the interior angle

Note that a triangle = 180 degrees, and that a square inside the triangle located in a corner means a right angle or 90 degrees.

The sum of the exterior angle is the addition of the two isolated interior angles:

90 + 53 = u

u = 143

The sum of a straight line is 180 degrees. Subtract 180 with 143

180 - 143 = 37

The measure of the missing interior angle is 37 degrees

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The sum of the angles of a triangle is 180.

2 of the three angles are already given.

53+90+x=180

143+x=180

x=180-143

x=37

The interior angle is 37°.

the solution is 12x-6y

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80