Two consecutive angles of a parallelogram have measures 2(x+12) and 2(5x+6) respectively. Find the measures of the angles.
Try it exactly the same way as the other one
2(x+12) + 2(5x+6) =180
2x+24+10x+12 =180
12x+36=180
12x=144
x=12
which gives 48 and 132 as the angles.
This question has the identical structure as the one I just answered for you.
Surely you can follow that example.
Let me know what answer you got.
Two opposite angles of a parallelogram have measures 6x and 3(x + 14), respectively. Find the measures of the angles
my answer is x=5 is it correct?
no,
when subbing that back in you would get angles of 34 and 62, which obviously do not add up to 180 as they should
How did you possibly get x = 5 ?
Two consecutive angles of a parallelogram have measures (2× +7)° and (3× +8)° what is the measure of the larger angle?
Two consecutive angle of parallelogram have measure of 2(x+12)and 2(5x+6)
To find the measures of the angles, we need to use the fact that consecutive angles of a parallelogram are supplementary, meaning their measures add up to 180 degrees.
Let's set up an equation using the given information:
2(x + 12) + 2(5x + 6) = 180
First, distribute the 2:
2x + 24 + 10x + 12 = 180
Combine like terms:
12x + 36 = 180
Subtract 36 from both sides:
12x = 144
Divide both sides by 12:
x = 12
Now that we have found the value of x, we can substitute it back into the expressions for the angles:
Angle 1 = 2(x + 12)
= 2(12 + 12)
= 2(24)
= 48 degrees
Angle 2 = 2(5x + 6)
= 2(5(12) + 6)
= 2(60 + 6)
= 2(66)
= 132 degrees
Therefore, the measures of the angles are 48 degrees and 132 degrees.
This is what I did 2(x+12)= 2(5x+6)
2x+24+10x+12
12x=60
x=5
If not correct cn u give me the right one?...tnx