What is the value of x?

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03-05-2021
Mathematics

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What is the value of x?

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Altavistardidn Altavistardidn · Answer 1 · 2021-05-04T08:26:55-04:00

Answer:

x = 80 degrees

Step-by-step explanation:

First look at the upper triangle. There are two 65 degree angles there, along with two equal sides. The angles must sum up to 180 degrees. Therefore:

2(65) + x = 180; thus, the value of x is 50 degrees.

Next, recognize that the vertical angles in the middle of the diagram are equal and are 50 degrees each. Thus, the smaller triangle has two 50-degree angles. Again we sum up the angles, obtaining 50 + 50 + x = 180, or x = 80 degrees

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