The measure of angle b would depend on the sum of the angles a and b which has not been given so therefore a solution is not possible.
x is the angle you're looking for and 3x is the angle that when added to x must total 180 degrees. Therefore the angle is 45degrees (x + 3x = 180)
If it is a regular nonagon, then you use the following formula: [(s-2) x 180]/s = angle of one interior angle. (s means the number of sides) Then solve: [(s-2) x 180]/s = [(9-2) x 180]/9 = [7 x 180]/9 = 1260/9 = 140. Then, for the exterior angle, subtract 140 from 360. The measure of the exterior angle of a regular nonagon is 220.
You can solve by substituting (x) for the unknown angle and (x + 40) for the angle plus 40 degrees and set the equation as: x + (x + 40) = 90 (then simplify) 2x + 40 = 90 (then isolate the known from unknown by subtracting 40 from each side of the equation) 2x = 50 (divide both sides by 2 to solve for x) x (the unknown angle) = 25 degrees now you can substitute the value of the angles to prove the equation.
Okay. If two angles are supplementary then the sum of the two angles is equal to 180. This can be represented in an algebraic equation: X + Y = 180 Now it says the angle X is 24 degrees greater than Y. That can also be written algebraically: Y + 24 = X Now we can subsititute this value for X into the original equation and solve: (Y + 24) + Y = 180 2Y + 24 = 180 2Y = 156 Y = 78 Now that we know angle Y, we can plug this in to either of our formulas in order to discover angle X: X + (78) = 180 X = 102 There you go, angle X is equal to 102o and angle Y is equal to 78o
The supplement of an angle x is equal to 180 - x. The measure of an angle that is nine times its supplement can be written as: x = 9(180 - x) You can then solve for the measure of the angle x: x = 1620 - 9x 10x = 1620 x = 162 Therefore, that angle which is nine times its supplement is itself 162 degrees.
Let's denote the measure of the angle as x degrees. The complementary angle would then be 90 - x degrees. According to the given information, we have the equation x = 14(90 - x). Solving this equation, we find x = 70 degrees and the complementary angle is 20 degrees.
Suppose the angle is x then its supplement is 180 - x so 180 - x = x - 78 that is, 258 = 2x or x = 258/2 = 129 <><><><><> Angle + Supplement = 180 Angle = Supplement + 78 Solve for the system of equations... Angle + Supplement = 180 Angle - Supplement = 78 ------------------------------------- 2 Angle = 258 Angle = 129 Supplement = 51
The measure of angle b would depend on the sum of the angles a and b which has not been given so therefore a solution is not possible.
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A supplemental angle "completes" a given angle to make it a straight angle (180 degrees). The supplement of 90 is 90. The supplement of 100 is 80. As long as the two angles add up to 180 they supplement each other. So, you have some angle, x and its supplement, 180-x. The supplement is twice as big as the angle. 180-x = 2*x Solve for x and you're done!
Let the second angle be x degrees. The first angle would then be x + 24 degrees, and the third angle would be 4x degrees. According to the triangle angle sum theorem, the sum of all three angles in a triangle is 180 degrees. Therefore, you can set up the equation x + (x + 24) + 4x = 180 and solve for x to find the measures of all three angles.
x is the angle you're looking for and 3x is the angle that when added to x must total 180 degrees. Therefore the angle is 45degrees (x + 3x = 180)
Alternate angles have the same measure, so there is nothing to solve!
Suppose the supplement of the angle is x degrees. Then the angle is 180 - x degrees. Therefore the complement of the angle is 90 - (180 - x) degrees = x - 90 degrees. So 5*(x - 90) - 2*x = 40 Solve the above equation for x.
In parallelogram ABCD, angle A and angle D are adjacent or consecutive angles and are supplementary, meaning the sum of their measures is equal to 180 degrees. Angles A and C are opposite angles and have the same measure. These are some important properties of parallelograms. So to find the measure of angle C, you first have to find the measure of angle A. You can do that with a little algebra. First, set the expressions for the measures of angles A and D equal to 180 and solve for x. Then plug that value for x into the expression for the measure of angle A, which is the same as the measure for angle C. 5x + 30 + x = 180 6x + 30 = 180 6x = 150 x = 25 Therefore, 5x + 30 = 5(25) + 30 = 125 + 30 = 155 The measure of angle C is 155.
Oh, dude, let's break it down. So, the supplement of an angle means 180 degrees minus the angle, and the complement is 90 degrees minus the angle. When you add them together, you get 210 degrees. So, you just set up the equation (180 - x) + (90 - x) = 210 and solve for x, which is the measure of the angle. Math, man, it's like a puzzle but with numbers.