Answer:
≥ closed dot
< open dot
≤ less than or equal to closed dot
There are the missing blanks
Given:


To find:
The value of x and measure of ∠A.
Solution:
Let C be angle the vertically opposite to ∠A.
The reference image for answer is attached below.
By vertical angle theorem:
m∠A = m∠C
m∠C = 10x + 24°
By the corresponding angle theorem:
m∠C = m∠B

Subtract 24° on both sides.

Subtract 6x from both sides.

Divide by 4 on both sides.

The value of x is 12°.



The measure of ∠A is 144°.
Answer:
Option 2
Step-by-step explanation:
Like terms are terms with the same variable and the same power.
Let's analysis and write the equation of each model to see if which of them has like terms:
Option 1:
We have x x => 2x
1 1 1 => 3
Equation of model=> 2x + 3
2x and 3 are unlike terms
Option 2:
We have x x => 2x
x x x => 3x
Equation of model=> 2x + 3x
2x and 3x are like terms
Option 3:
We have x x x => 3x
1 1 1 => 3
Equation of model=> 3x + 3 (contains unlike terms)
Option 4:
We have x => x
1 => 1
Equation of model=> x + 1 (unlike terms)
✔️The second option is the answer