Question

for each part, just put the number. dont put x = # or a degree symbol or the word degree or the words, \i got...\ what is the value of x? what is the measure of the angle with the arrow pointing at it? what is the measure of the angle that is marked, but does not have an arrow pointing at it? 4x + 14 10x + 12

Explanation:

Step1: Set up the equation

Since the two - angles are supplementary (a straight - line has an angle measure of 180°), we have the equation $(4x + 14)+(10x + 12)=180$.

Step2: Combine like terms

Combine the $x$ terms and the constant terms: $4x+10x+14 + 12=180$, which simplifies to $14x+26 = 180$.

Step3: Isolate the variable term

Subtract 26 from both sides of the equation: $14x=180 - 26$, so $14x=154$.

Step4: Solve for $x$

Divide both sides by 14: $x=\frac{154}{14}=11$.

Step5: Find the measure of the angle with the arrow

Substitute $x = 11$ into the expression for the angle with the arrow, $10x+12$. So, $10\times11 + 12=110+12 = 122$.

Step6: Find the measure of the other marked angle

Substitute $x = 11$ into the expression for the other marked angle, $4x+14$. So, $4\times11+14=44 + 14=58$.

Answer:

11
122
58