Obtuse angles form by two adjacent angles with measures X +10 and 3X if the resulting angle measure is 118 what is the angle measure of each of the two unknown angles round of the nearest whole number?
43 and 75
37 and 81
20 and 98
34 and 84
To find the angle measures, we can set up an equation:
(X + 10) + (3X) = 118
Combining like terms, we get:
4X + 10 = 118
Subtracting 10 from both sides:
4X = 108
Dividing both sides by 4:
X = 27
So one angle is X + 10 = 27 + 10 = 37 degrees.
The other angle is 3X = 3(27) = 81 degrees.
Therefore, the angle measures are 37 and 81.
This angle shows a picture of DGENF what is the simplified equation corresponding to the measure of the angles
3x-22 =90
7x22 =90
3x-22=180
7X-22=180
The simplified equation corresponding to the measure of the angles in the picture of DGENF is:
3x - 22 = 180.
For two vertical angles with measures M1 equals 4X +26 and M3 equals 3X +32. What is the measure of each angle
6
24
50
64
Vertical angles are always equal in measure, so we can set up an equation:
M1 = M3
4X + 26 = 3X + 32
Subtracting 3X from both sides:
X + 26 = 32
Subtracting 26 from both sides:
X = 6
Now we can substitute X back into either M1 or M3 to find the measure of each angle. Let's use M1:
M1 = 4X + 26
M1 = 4(6) + 26
M1 = 24 + 26
M1 = 50
So each angle has a measure of 50 degrees.
The M2 equals 47 use this information and the information on the diagram to answer all of the following parts. There are six parts with one point each.
I'm sorry, but you have not provided any information or diagram regarding the parts you mentioned. Could you please provide more details or clarify your question?
Write an equation to solve for M1
If M2 is given to be 47 degrees, we can use the fact that vertical angles are congruent to write the equation:
M1 = M2
Substituting the given value:
M1 = 47
Therefore, the equation to solve for M1 is simply M1 = 47.