SOLUTION: The measures of two complementary angles are 10z - 9 and 4z + 3. Find the measures of the angles.

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Question 928670: The measures of two complementary angles are 10z - 9 and 4z + 3. Find the measures of the angles.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Complementary angles add up to 90°
so, %2810z-9%29%2B%284z+%2B+3%29=90 ....solve for z
10z-9%2B4z%2B3=90
14z-6=90
14z=90%2B6
z=96%2F14
z=6.86
now find angles
10z-9=10%2A6.86-9=68.6-9=highlight%2859.6%29
4z+%2B+3=4%2A6.86%2B3=27.4%2B3=highlight%2830.4%29