Question

PLEASE ANSWER FOR BRAINLIEST

Answer 1

Let smaller angle be x

Thus larger angle = 2x - 3

As they are complementary

Thus , we have

$(x) + (2x - 3) = 90$

$x + 2x - 3 = 90$

$3x - 3 = 90$

$3(x - 1) = 90$

$x - 1 = 30$

$x = 31$

Measure of 1st angle = 31

Measure of 2nd angle = 2 ( 31 ) - 3 = 62 - 3 = 59

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Answer 2

Answer:

Option(d) is the correct answer.

Step-by-step explanation:

Let the two angles be x & y.

If the angles are complementary, then their sum must be 90°

                            ⇒ x + y = 90°     ----- (1)

Let y be the larger angle.

Given, y is 3 less than twice of x

i.e,   y = 2x - 3  ------ (2)

Substitute eqn (2) in eqn (1) ,

            x + 2x - 3 = 90°

            3x - 3 = 90°

           3(x - 1) = 90°

              x - 1 = 90/3

             x - 1 = 30

             x = 30 + 1

        ⇒  x = 31°

To find the other angle, put x = 61 in eqn (1)

    31 + y = 90

        y = 90 - 31

     ⇒ y = 59°