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
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
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
A right angle is a measure of 90 degrees or a 1/4 of a turn
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 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
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
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.
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.
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
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.
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).
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
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
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
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.
A regular polygon with 4 sides is a square. The measure of any interior angle of a square is 90 degrees.