SOLUTION: Two angles are complementary. The measure of one angle is 46° more than three times the measure of the other. Find the measure of each angle.

Question 1158336: Two angles are complementary. The measure of one angle is 46° more than three times the measure of the other. Find the measure of each angle.
Found 2 solutions by greenestamps, Shin123:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

x = smaller angle
3x+46 = measure of larger ("46 more than 3 times the measure of the other")

Complementary means the sum of the angles is 90 degrees:

Solve using basic algebra....

Answer by Shin123(626) (Show Source): You can put this solution on YOUR website!
Let the measure of the shorter angle x. The measure of the longer angle is 3x+46. And since the angles are complementary, we have

Solved by pluggable solver: Solve an equation

This is a solution to the equation:
Your Result:

YOUR ANSWER

This is an equation! Solutions: x=11.

Graphical form: Equation was fully solved.
Text form: x+(3x+46)=90 simplifies to 0=0
Cartoon (animation) form:
For tutors: simplify_cartoon( x+(3x+46)=90 )

If you have a website, here's a link to this solution.

DETAILED EXPLANATION

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Remove unneeded parentheses around terms ,
It becomes .

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Eliminated similar terms , replacing them with
It becomes .

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Added fractions or integers together
It becomes .

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Remove unneeded parentheses around factor
It becomes .

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Moved these terms to the left
It becomes .

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Added fractions or integers together
It becomes .

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Removed extra sign in front of
It becomes .

Look at .
Solved linear equation equivalent to 4*x-44 =0
It becomes .
Result:
This is an equation! Solutions: x=11.

Universal Simplifier and Solver

Done!
0=0;x=11

4x-44=0 turns into 4x=44. Dividing both sides by 4 gives x=11. 3x+46=11*3+46=79 degrees. So the angles are and .
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