Find the measures of the complementary angles that satisfy each case. The measure of the first angle is 40% less than the measur

Question

1 year ago

8

e of the second.

1 answer:

AlekseyPX · Answer 1 · 2024-03-21T19:53:36+03:00

The measure of the angles are 56.25° and 33.75°.

<h3>How to calculate the angles?</h3>

The value in a complementary angle is equal to 90°.

Let the first angle = x

The second angle will be: 1 - (40% × x) = 1 - 0.4x = 0.6x

Therefore, they'll be added together as follows:

x + 0.6x = 90°

1.6x = 90°

Divide

x = 90/1.6

x = 56.25

The second angle will be:

= 0.6x

Since x = 56.25, this will be used in the illustration below.

= 0.6x

= 0.6 × 56.25

x = 33.75

Therefore, the second angle is 33.75.

This illustrates the concept of complimentary angles.

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