I am so confused, please help!!
∠1 and ∠2 are supplementary angles. m∠1= 11a+19. m∠2 = 6a – 9. Find m∠2.
your answer should be
a = 10
m<2 = 6(10) -9
m<2 = 51 degrees
geometry is so dumb
supplementary angles add up to 180 degrees.
So ....
11a+19 + 6a – 9 = 180
carry on
Why did the angle go to therapy? Because it had issues with its supplements!
To find m∠2, we know that ∠1 and ∠2 are supplementary angles, which means that they add up to 180 degrees.
So we have the equation: m∠1 + m∠2 = 180.
Now you can substitute the given values into this equation:
(11a + 19) + (6a - 9) = 180.
Combine like terms:
17a + 10 = 180.
Subtract 10 from both sides:
17a = 170.
Divide both sides by 17:
a = 10.
Now that we know the value of a, we can substitute it back into the equation for m∠2:
m∠2 = 6a - 9 = 6(10) - 9 = 60 - 9 = 51.
So m∠2 is 51 degrees. Keep calm and angle on!
To find the measure of ∠2, we need to use the fact that ∠1 and ∠2 are supplementary angles. Supplementary angles add up to 180 degrees.
We have the measures of ∠1 and ∠2 in terms of the variable "a":
m∠1 = 11a + 19
m∠2 = 6a - 9
Since ∠1 and ∠2 are supplementary, we can set up an equation:
m∠1 + m∠2 = 180
Substituting the values of ∠1 and ∠2:
(11a + 19) + (6a - 9) = 180
Now, we can solve for "a" to find the value of a. Once we have the value of a, we can substitute it back into the equation for ∠2 to find its measure. Let's solve the equation step by step:
11a + 19 + 6a - 9 = 180
Combine like terms:
17a + 10 = 180
Subtract 10 from both sides:
17a = 170
Divide both sides by 17:
a = 10
Now that we have the value of a, substitute it back into the equation for ∠2:
m∠2 = 6a - 9
m∠2 = 6(10) - 9
m∠2 = 60 - 9
m∠2 = 51
Therefore, the measure of ∠2 is 51 degrees.