The drawing shown contains the intersection of two lines. The angle formed above the intersection point is labeled as 2 and the angle formed below the intersection point is labeled as 1.

The measure of ∠1 = 20x + 21 and the measure of ∠2 = 30x − 29.

a. Create an equation to find the measures of both angles.
b. Find the measures of both angles. Show and explain your work.

Please help!!

a) The equation is 20x + 21 = 30x − 29 and the value of x is 5.

b) The measures of both angles is 121°.

Step-by-step explanation:

The drawing shown contains the intersection of two lines.

a) To create an equation to find the measures of both angles:

Since both the angles are equal, the equation can be framed as ∠1 = ∠2 .

⇒ 20x + 21 = 30x − 29

Bring x terms alone on one side of the equation,

⇒ 21 + 29 = 30x - 20x

⇒ 50 = 10x

Divide by 10 on both sides of the equation,

⇒ 50 / 10 = x

⇒ x = 5

∴ The value of x is 5.

b) To find the measures of both angles :

The measure of ∠1 = 20x + 21

Substitute x= 5,

⇒ 20(5) + 21

⇒ 100 + 21

⇒ 121

∴ The measure of ∠1 is 121°

The measure of ∠2 = 30x − 29

Substitute x= 5,

⇒ 30(5) - 29

⇒ 150 - 29

⇒ 121

∴ The measure of ∠2 is 121°

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

i am sorry it just submitted an answer but the answer is 365 boys. hopes this

step-by-step explanation: