The measure of one angle is seven times the measure of its complement. Find the measure of the smaller angle. ( pls if u answer the question show me how).

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21-09-2021
Mathematics

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The measure of one angle is seven times the measure of its complement. Find the measure of the smaller angle. ( pls if u answer the question show me how).

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sqdancefan sqdancefan · Answer 1 · 2021-09-21T05:14:48+02:00

sqdancefan sqdancefan

21-09-2021

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°.

__

Check

The larger angle is 7(11.25°) = 78.75°.

11.25° +78.75° = 90° . . . . as required

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jsisjkejfkdkka jsisjkejfkdkka · Answer 2 · 2021-09-21T05:15:37+02:00

jsisjkejfkdkka jsisjkejfkdkka

21-09-2021

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.))

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