Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if o
ne angle is 6º more than three times the other angle.
1 answer:
Answer:
The two angles are 69° and 21°.
Step-by-step explanation:
Write out the expression:
let x and y be two angles that are complementary and the sum of their measures is 90°
-> x° + y° = 90°
if one angle is 6º more than three times the other angle:
-> x° = 6° +3y°
Plug x = 6+3y into x° + y° = 90°
6° + 3y° + y° = 90°
Solve for y
4y° = 84°
y° = 21°
Plug y into x° + y° = 90°
x° + 21° = 90°
Solve for x°
x° = 90° - 21° = 69°
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