Angle Relationships

yesenia

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Sep 27, 2015
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Two angles are complementary. The measure of one angle is 21 more than twice the measure of the other angle. Find the measures of the angles.
 
Two angles are complementary. The measure of one angle is 21 more than twice the measure of the other angle. Find the measures of the angles.
Try using what you learned back in algebra:

The measure of the one angle is defined in terms of the measure of the other, so pick a variable for the size of the other.

Create an expression, in terms of this variable, for "twice the measure of".

Create an expression, in terms of the expression in the previous step, for "twenty-one more than" "twice the measure of".

Note that the two angles are complementary. Use the definition of "complementary", and plug the variable and the expression into this definition to create an equation.

Solve the equation for the value of the variable. Back-solve for the measures of the angles.

If you get stuck, please reply showing your efforts in working through the step-by-step instructions provided above. Thank you! ;)
 
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