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iragen [17]
3 years ago
11

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. ​
Mathematics
1 answer:
nirvana33 [79]3 years ago
4 0

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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