∠ 1 and ∠ 2 ∠1 and ∠2 are supplementary angles. m ∠ 1 is 4 y + 7 , and m ∠ 2 is 9 y + 4 m∠1 is 4y+7, and m∠2 is 9y+4. Find m ∠ 2
can somebody please explain everything to me, step by step, because i don't understand how to get to some steps
it was an accident
and thanks
Why do you repeat everything twice? Very annoying.
not very many steps involved.
The first step is to know what "supplementary" means -- the measures of the two angles add up to 180°
Now, since you have expressions for those measures, just add 'em up:
4y+7 + 9y+4 = 180
13y = 169
y = 13
So, m∠2 = 9*13+4 = 121°
To find the measure of ∠2, we first need to set up an equation using the fact that supplementary angles add up to 180 degrees.
Step 1: Write the equation for the sum of ∠1 and ∠2.
∠1 + ∠2 = 180
Step 2: Substitute the given measures of ∠1 and ∠2 into the equation.
4y + 7 + 9y + 4 = 180
Step 3: Combine like terms on the left side of the equation.
13y + 11 = 180
Step 4: Subtract 11 from both sides of the equation.
13y = 180 - 11
13y = 169
Step 5: Divide both sides of the equation by 13 to isolate y.
y = 169/13
y ≈ 13
Step 6: Substitute the value of y back into the expression for ∠2.
m∠2 = 9y + 4 = 9(13) + 4 = 117 + 4 = 121
Therefore, the measure of ∠2 is 121 degrees.
To find the measure of angle ∠2, we can use the fact that ∠1 and ∠2 are supplementary angles. Supplementary angles are two angles whose measures add up to 180 degrees.
So, we can set up the equation:
m∠1 + m∠2 = 180
Substituting the given values, we have:
4y + 7 + (9y + 4) = 180
Now, we need to solve this equation for y in order to find the value of y. Let's simplify the equation by combining like terms:
13y + 11 = 180
Next, let's isolate the variable y by subtracting 11 from both sides of the equation:
13y = 180 - 11
13y = 169
Finally, divide both sides by 13 to solve for y:
y = 169/13
y = 13
Now that we have found the value of y, we can substitute it back into the expressions for ∠1 and ∠2 to find their measures.
Substituting y = 13 into m∠2 = 9y + 4:
m∠2 = 9(13) + 4
m∠2 = 117 + 4
m∠2 = 121
Therefore, the measure of angle ∠2 is 121 degrees.