9514 1404 393
Answer:
11.25°
Step-by-step explanation:
Let s represent the smaller angle. Complementary angles have a sum of 90°, so we have ...
s + 7s = 90°
8s = 90° . . . . . collect terms
s = 11.25° . . . . . divide both sides by 8
The smaller angle is 11.25°.
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Check
The larger angle is 7(11.25°) = 78.75°.
11.25° +78.75° = 90° . . . . as required
Answer:
11.25 degrees
Step-by-step explanation:
Two complementary angles are angles that both add to 90deg.
x = angle 1
y = complementary angle
x = 7×y
And
x + y = 90deg
So
7×y + y = 90deg
8×y = 90deg
y = 90deg / 8
y = 11.25deg
((And x = 78.75deg, but they don't ask for that.))
