1.

The ration between an angle and its complementing angle is2:7,then find the smallest angle​

Answer»

Answer:

20

Step-by-step explanation:

Complementary angles are angles WHOSE SUM equals 90 degrees

So if the ratio of the angles is 2:7,

Let the angles be x.

So with ref to the ratio, they would be 2x and 7x

Now we know their sum adds up to 90.

So

2x+7x=90

9x=90

x=10

So the first ANGLE, 2x,

= 2(10)

=20

The second angle, 7x,

=7(10)

=70

Now we compare 20 and 70.

20<70

Therefore,

20 is the smaller angle.


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