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26 votes
26 votes
PLEASE HELP! Suppose that an acute angle x has the value z=31. Form an equation and solve for X, the complement of Z.

User Aogan
by
2.7k points

2 Answers

11 votes
11 votes

Answer:

x= 59°

Equation:

x+z°=90°

x+31°=90°

90°-31°=x

90°-31°=59°

Explanation:

So if Z and X are complementary angles, means that:

x+z°=90°

So if z=31 then the equation becomes:

x+31°=90°

If we flip the equation to becoming solvable then the equation becomes:

90°-31°=x

Now we solve:

90°-31°=59°

Hopes this helps!!

User Princeyesuraj
by
3.7k points
12 votes
12 votes

Answer:

x=59

Explanation:

Complementary angles add up to 90 degrees therefore...

x+z=90

Substitute 31 for z:

x+31=90

Subtract 31 from both sides

x=59

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