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Find the measure of all missing angles in the diagram below.

Find the measure of all missing angles in the diagram below.-example-1
User Floella
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Missing angles are: 33, 85, 65, 53, 86, 62, 32, 33, 62, 85, 65, 53, 84, 32, 64, 95, 85, 95 degrees.

To find the missing angles, use the fact that the sum of the three interior angles in a triangle = 180°. In this diagram, there is one large triangle being split into many smaller triangles with straight lines. While they seem close to the halfway points, there are no 90° in sight. So we must use the knowledge that a straight line has a degree of 180°.

That’s what I do in the photo below (sorry it was easier to draw it):

I hope this helps!
Find the measure of all missing angles in the diagram below.-example-1
User Stefan Szasz
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