dannacuzco23
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Tell whether the angles are complementary or supplementary. Then find the value of x.

help pls i don't get it...

Tell Whether The Angles Are Complementary Or Supplementary Then Find The Value Of X Help Pls I Dont Get It class=

Sagot :

CherisherNotFound

Answer:

The angles are complementary, hence the answer is the second one.

Step-by-step explanation:

Since 90° - 65° = 25°, we know that 5x =25°, hence x is equal to 25° ÷ 5, which is 5°, hence, x = 5° and the answer is the second one

Hope this helps :))

P.s. can you mark me as the brainliest? <3

sqdancefan

Answer:

  (b)  Complementary; x = 5

Step-by-step explanation:

Angles are complementary when the total of their measures is 90°. Angles are supplementary when the total of their measures is 180°. A right angle has a measure of 90°, so any pair of angles that has the same total measure as a right angle are complementary angles.

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interpreting the figure

The little square in the corner of the figure indicates that angle is a right angle, and has a measure of 90°. The ray headed off to the northeast divides that 90° angle into two parts, labeled 65° and 5x°. In math, the whole is the sum of the parts, so the 90° angle is the sum of the 65° and 5x° angles.

Those two angles total 90°, so they are complementary.

making use of the relation

Now that you understand the sum of the two marked angles is 90°, you can use that fact to write an equation:

  65° +5x° = 90° . . . . equation relating the complementary angle measures

solution

This is a 2-step linear equation, so is solved the way that kind of equation is solved.

  5x° = 25° . . . . . step 1: add the opposite of 65° to get the x-term alone

  x = 5 . . . . . . . . .step 2: divide by the coefficient of x to get x alone

The angles are complementary, and the value of x is 5.

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Additional comment

In order to keep the equation true, whatever operation we perform on one side of the equation must also be performed on the other side. When we say "add -65°", we mean that value is added to both sides of the equation. Above, we have skipped the steps of showing that addition and the subsequent simplification. (Similarly, we skipped the steps showing the division and the simplification process.)

  65° +5x° = 90° . . the original equation. We want to eliminate the 65° term.

  65° +(-65°) +5x° = 90° +(-65°) . . . . . add -65° (to both sides)

  (65° -65°) +5x° = (90° -65°) . . . . . simplify the expressions a bit

  0° +5x° = 25° . . . . . . . . . . . do the subtraction

  5x° = 25° . . . . . . . . . . . 0 is the identity element for addition. Adding it changes nothing.

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