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RUDIKE [14]
3 years ago
8

Find the value of x.

Mathematics
2 answers:
earnstyle [38]3 years ago
7 0

Answer:

110 degrees

Step-by-step explanation:

The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.

Now, add up all the angles that you know and subtract that from 900 to find the value of x.

900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees

alexdok [17]3 years ago
7 0
110 degrees ^^^^^^^^^
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Step-by-step explanation:  

Complementary angles are angles that add up to 90 degrees. I remember this because my teacher told me this: "Complements are always RIGHT!" Of course, this is a reference to complementary angles combining to make right angles, which are 90 degrees.

To go back on your question, if  <a and <b are truly complementary, then m<a +m<b = 90 degrees. Substitute the measure of <a for 64 degrees, then you get 64 degrees + m<b = 90 degrees. Simplify. Then you'd get that the measure of <b is 26 degrees.

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