Question

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Answer 1

Step-by-step explanation:

✬ Smaller Angle = 46° ✬

Step-by-step explanation:

Given:

• Measure of two complementary angles are 2 consecutive even integers.

To Find:

• What is the measure of smaller angle ?

Solution:

Let the first consecutive even integer be x. Therefore, second will be

➟ Second = x + 2

[ Complementary angles ]

Two angles whose sum is equal to 90°.

Here we have

• First angle = x
• Second angle = x + 2

⟹ x + x + 2 = 90°

⟹ 2x + 2 = 90°

⟹ 2x = (90 – 2)°

⟹ 2x = 88°

⟹ x = 88°/2

⟹ x = 44°

So we got that angles

• First one is 44°
• Second is 44 + 2 = 46°

On comparing both

➬ First < Second

Hence,measure of smaller angle is of 46°.

[ Supplementary angles ]

Two angles whose sum is equal to 180°.

Answer 2

Step-by-step explanation:

let one Angle be 2y and other angle be 2y+2.As we know, the sum of complementary angle is 90° then >2y+2y+2=90°

> 4y=88°

88°

> y=—

4

> y=22°

•

• • 2×y=2×22°==44°

and 2y+2==44°+2=46°

therefore, one angle is 44° and other is 46°