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If angle RSQ equals 3X plus 7 then what is its measure?
No way to answer this until we know either the value of 'X', or else something about the drawing.
Angles X and Y are supplementary If the measure of angle X equals 2x plus 4 and the measure of angle Y equals 4x plus 20 then what is the measure of each angle and why?
X = 180 - Y so 180 - Y = 2x + 4 and Y = 4x + 20 so 180 - 4x - 20 = 2x + 4 therefore 6x = 156 so x = 26 making Angle X = 56o and Angle Y = 124o
In parallelogram ABCD if angle A equals 5x plus 30 and angle D equals x find angle c?
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.
What is the measure of an angle that is nine times its supplement?
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.
Ray BD bisects angle ABC. The measure of angle ABD is represented by 4x-4 and the measure of angle ABC is represented by 7x plus 4. Find the measures of angle DBC.?
Angle ABD = 4x - 4 Angle ABC = twice angle ABD = 7x + 4 So 7x + 4 = 2*(4x - 4) = 8x - 8 So x = 12 Then angle DBC = half of angle ABC = 1/2*(7*12 + 4) = 1/2*88 = 44 degrees.
