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An angle measures 5 degrees more than 4 times its compliment find the measure of the angle?
measure of angle = 73 work x = angle (90 - x) = complement x = 4 (90 - x) + 5 x = 360 - 4x + 5 x = 365 - 4x x + 4x = 365 - 4x + 4x 5x = 365 5x / 5 = 365 / 5 x = 73
If the measure is four times the measure of the complement what is the measure of the angle?
Suppose the angle is x then its complement is 90-x So 4*(90-x) = x or 360 - 4x = x so that 360 = 5x => x = 72 degrees
What is the measure of angle 1 and angle 2 if angle 1 and angle 2 are complementary and angle 1 is 4 times greater than angle 2?
A1 + A2 = 90 A1 = 4*A2 Substituting from the second equation into the first: 4*A2 + A2 = 90 or 5*A2 = 90 so that A2 = 18 and then, by the second equations, A1 = 4*18 = 72
What is the name of the right angle?
A right angle is a measure of 90 degrees or a 1/4 of a turn
What is the measure of angle T when T is 35 degrees greater than 4 times the measure of its supplement?
Supplementary angles add up to 180°. T - 35 = 4(180 - T) = 720 - 4T 5T = 720 + 35 = 755 T = 151° and its supplementary angle is therefore 29°.
The measure of an angle is 10 degrees more than 3 times its complement find the measure of the angle?
The complement means the angles add to 90. If the compliment is x the other angle is 3x+10 (10 more than 10 times the compliment) These two angles add to 90 x + 3x+10=90 4x+10=90 4x=90-10 4x=80 x=80/4 x=20
An angle measures 5 degrees more than 4 times its compliment find the measure of the angle?
measure of angle = 73 work x = angle (90 - x) = complement x = 4 (90 - x) + 5 x = 360 - 4x + 5 x = 365 - 4x x + 4x = 365 - 4x + 4x 5x = 365 5x / 5 = 365 / 5 x = 73
If the measure of an angle is 4 times its supplementary angle what are the angles?
An angle and the angle that it is supplementary to have a total measure of 180 degrees.Let x be the supplementary angle. 4x would be the original angle.x + 4x = 1805x = 180x = 364x = 144So the two angles are 144 degrees and 36 degrees.
The complement of an angle is 4 times greater than the angle What is the measure of the angle?
Suppose the angle is x degrees. Then its complement is 90 - x deg So 90 - x = 4*x ie 90 = 5x or x = 18 degrees.
If the measure is four times the measure of the complement what is the measure of the angle?
Suppose the angle is x then its complement is 90-x So 4*(90-x) = x or 360 - 4x = x so that 360 = 5x => x = 72 degrees
In triangle abc the measure of angle b is 4 degrees more than three times the measure of angle a the measure of angle c is 41 degree more than the measure of angle a find the measure of each angle?
given b = 3a + 4 and c = 41 + a, we also know that a + b + C = 180 in a triangle putting the values of b and c from above a + (3a + 4) + (41 + a) = 180 a + 3a + a + 4 + 41 = 180 5a + 45 = 180 5a = 180 - 45 = 135 a = 135 / 5 = 27, now putting the values of a b = 3 * 27 + 4 = 81 +4 = 85, and c = 41 +27 = 68.
In the right triangle the ratio of the measures of the two acute anglesis 4 to1What is the measure in degrees of the larger acute angle?
The two acute angles total 90 degrees. If the larger angle is 4 times the smaller angle, then the smaller angle is 18 degrees and the larger angle is 72 degrees (4 x 18 degrees).
What is the measure of angle 1 and angle 2 if angle 1 and angle 2 are complementary and angle 1 is 4 times greater than angle 2?
A1 + A2 = 90 A1 = 4*A2 Substituting from the second equation into the first: 4*A2 + A2 = 90 or 5*A2 = 90 so that A2 = 18 and then, by the second equations, A1 = 4*18 = 72
What are types of angle according to measure?
Types of angles according to measure: 1. Acute angle- angle measure is less than 90 degrees 2. Right angle- angle measure is 90 degrees 3. Obtuse angle- angle measure is more than 90 degrees but less than 180 degrees. 4. Straight angle- angle measure is 180 degrees 5. Reflex angle- angle measure is more than 180 degrees but less than 360 degrees
How many sides does an equiangular polygon have if the measure of an angle of the polygon exceeds four times the measure of one of it's exterior angles by 30?
Interior angle + Exterior angle = 180 So Interior angle = 180 - Exterior angle Interior angle = 4*Exterior angle + 30 Substitute for Interior angle: 180 - Exterior angle = 4*Exterior angle + 30 Collect like terms: 150 = 5*Exterior angle Divide by 5: Exterior angle = 30 deg Therefore number of sides = 360/30 = 12
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.
What is the measure of one interior angle of a regular polygon with 4 sides?
A regular polygon with 4 sides is a square. The measure of any interior angle of a square is 90 degrees.
