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hnori22003

[tex]x + (x - 86) = 90[/tex]

[tex]2x - 86 = 90[/tex]

Both sides plus 86

[tex]2x = 90 + 86[/tex]

[tex]2x = 176[/tex]

Divided both sides by 2

[tex]x = \frac{176}{2} \\ [/tex]

[tex]x = 88[/tex]

So the angles are :

[tex]88 \: \: \: \: \: and \: \: \: \: 2[/tex]

The measure of the two complementary angles are 88° and 2°.

What is a complementary angle?

"When the sum of two angles is 90°, then the angles are known as complementary angles."

Let, the complementary angle of the mentioned angle is x.

Therefore, the angle is = (x - 86°)

Now, x + (x - 86°) = 90°

⇒ 2x - 86° = 90°

⇒ 2x = 176°

⇒ x = 88°

Therefore, the measured angle is 88°.

It's complementary angle is = (90° - 88°) = 2°.

Learn more about complementary angle here: https://brainly.com/question/27884545

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