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## Two triangles are shown such that one triangle is inverted and they share a common vertex. The lower triangle has two angles at the base. The lower left angle is marked as 45 degrees.

Y can be found by setting the 3 angles in the bottom triangle equal to 180 degrees like so:

45 + 55 + y = 180

100 + y = 180 (Simplify)

y = 80 (Subtract 100 from both sides)

Angles x and y are opposite angles, so they are equal to each other. This means that x = 80 degrees also.

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Answered: In the figure below, mL1=(x+44)° and… | bartleby – Find the total measure of all of the interior angles in the polygon. The formula for finding the total measure of all interior angles in a polygon is: (n – 2) x 180. In this case, n is the number of sides the polygon has. Some common polygon total angle measures are as follows:Answer to Refer to the figure below. Find the measure of each angle. See Example 3. ∠1 Reference Example 3 .Find the measure of angle x in the figure below: a triangle is shown. at the top vertex of the triangle is a horizontal line aligned to the base of the triangle. the angle formed between the horizontal line and the left edge of the triangle is shown as 52 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 59 degrees. the angle at the top vertex