one of two complimentary angle is seven eight as large as other how many degree are in each angle
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one of two complimentary angle is seven eight as large as other how many degree are in each angle
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Answer:
Angles are 48° and 42°
Step-by-step explanation:
Two Angles are complementary if they sum up to 90°
Let one angle be x
Then other angle be 7x/8
Now,
x + 7x/8 = 90
(8x + 7x) = 90*8
15x = 720
x = 720/15 = 48
Therefore,
Angles are 48° and 42°
Answer:
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Step-by-step explanation:
Two Angles are complementary when they add up to 90 degrees
Let x be the larger angle
x + 7/8x = 90
Combine like terms
15/8x = 90
Multiply 8/15 on both side
15/8x * 8/15 = 90 * 8/15
x = 48
Smaller angle = 7/8 (x) = 7/8 (48) = 42
Larger angle = x = 48
To verify: 42 + 48 = 90