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Can anyone help? 110 degrees ,41 degrees , 40 degrees, x?

Can anyone help? 110 degrees ,41 degrees , 40 degrees, x?-example-1
User Arton Dorneles
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1 Answer

15 votes
15 votes

Answer:

11°

Explanation:

This is hard to explain because they don't have names lol

So looking at the larger main triangle...

the top angle is composed of two angles measuring 40° and 41°. So it is equal to 81°.

The angle on the lower left side is a supplimentary angle with the one that measures 110°. The two of them combined make a line. A straight line is 180°, so that angle is 70°. (180 - 110)

The final angle in the triangle is accross from x. This makes them a pair of vertical angles, so therefore congruent.

The angles of a triangle add up to 180°

We already know the other two angles so 180 - 81 - 70 = 11°

so x is also 11°

User MasterOdin
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