Question

Need help ASAP! Directions are in the picture;)

Answer 1

Given that m < 1 = 5x, and m <2 = 9x, and that they are complementary angles with a sum of 90°:

We can establish the following formula:

m < 1 + m < 2 = 90°

Substitute the given values into the formula:

5x + 9x = 90°
Add like terms:

14x = 90°

Divide both sides by 14:
14x / 14 = 90° / 14

x = 6.42857

Substitute the value of x into m < 1:

m < 1 = 5x = 5(6.42857)
m < 1 = 32.1°

To verify whether we have the correct value for x, let’s substitute its value into the original equation:

m < 1 + m < 2 = 90°
5x + 9x = 90°
32.1 + 9(6.42857) = 90°
32.1 + 57.9 = 90°
90° = 90° (True statement. Therefore, we derived the correct value for x).

Therefore, the correct answer is: m < 1 = 32.1°

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Answer 2

Step-by-step explanation:

We know,

Angle 1 and Angle 2 are complementary.

That is they have a measure of 90°.

And the question says

Angle 1 = 5x

Angle 2 = 9x

So ,

According to the question

$5x + 9x = 90$

$= > 14x = 90$

$= > x = \frac{90}{14}$

$= > x = 6.4(rounding \: to \: the \: nearest \: tenths \: )$

So,

As Angle 1 = 5x and the value of x is 6.4

The measure of angle 1 will be

$5x$

$= > 5(6.4)$

$= > 32$

So the measure will be 32° ( rounding to the nearest tenths )

Hope it helps you!!

#IndianMurga(. ❛ ᴗ ❛.)