asked 23.3k views
3 votes
The angles of a triangle haves measures of 90°, 65°, and (x-10)°. What is the value of x?

1 Answer

5 votes

Solution

We know that the sum of angles of a triangle are 180°

If you don't know how to find the angles of a triangle

We use the formula,


(n-2)X180

Where n replicates the sides of a polygon

Applying the sides into the formula we get


(3-2)X180\\1X180\\180

Now in order to find x we sum up all the angles into a equation

90°+ 65°+ x - 10° = 180°

145 + x = 180

We then transpose 145 to the Right Hand Side (RHS)

x = 180 - 145

x = 35°

Hence , the value of x is 35°

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