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If the measure of an angle equals twice the measure of its supplement what is the measure of the angle?
Wiki User
∙ 14y ago
120
Consider: You know that the supplement of an angle is equal to 180 minus the angle. You also know that an angle is twice it's supplement.
Now, if you think of angle as being "A", and it's supplement being "S", then we can re-express the above statements like so:
S = 180 - A
A = 2S
Then logically, we can replace the "S" in the second equation with the value we have for it in the first one:
A = 2( 180 - A)
and then solve that equation:
∴ A = 360 - 2A
∴ A + 2A = 360
∴ 3A = 360
∴ A = 360/3
∴ A = 120
Wiki User
∙ 14y ago
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An angle's measure is twice its supplement's what is the measure of the two angles?
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!
The supplement of an angle is 30 degrees less than twice the measure of the angle itself find the angle and its supplement?
two-thirds of an angle is 30degree more than its supplemant. find the angle
What angle is twice the measure of its supplement and Find the measure of the two supplementary angles?
60 degrees and 120 degrees
The measure of a tangent chord angle is twice the measure of the intercepted arc inside the angle?
false
In triangle ABC the measure of angle B is 40 less than the measure of angle A the measure of angle C is 20 more than twice the measure of angle A what is the measure of angle C?
A = 60 B = 20 C = 140 This can have a large number of answers.
The measure of an angle is 12 less than twice the measure of its supplement what is the measure of the angle?
116 degrees
An angle's measure is twice its supplement's what is the measure of the two angles?
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!
The supplement of an angle is 30 degrees less than twice the measure of the angle itself find the angle and its supplement?
two-thirds of an angle is 30degree more than its supplemant. find the angle
Half the supplement of an angle is 12 degreees less than twice the complement of the angle Find the measure of the angle?
40 degres
What angle is twice the measure of its supplement and Find the measure of the two supplementary angles?
60 degrees and 120 degrees
The supplement of an angle is twice a large as the angle itself find the angle and its supplement?
The angle is 60°. Its supplement is 120°.
The angle of rotation is the measure of the angle formed by the lines?
the answer is twice. the angle of rotation is twice the measure
How do you find the measure of angle A if the supplement of angle A is 20 degrees greater than twice the complement of angle A?
The supplement of A is 180 - A The complement of A is 90 - A So, 180 - A = 2*(90 - A) + 20 or 180 - A = 180 - 2A + 20 So A = 20 degrees
If the supplement of an angle os twenty more than twice its complement what is the angle?
The angle is 20 degrees
What would be an equation for the statement five times the complement of an angle less twice the angle's supplement is 40 degreesFind the measure of the supplement?
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.
What is the Measure of an angle if twice the measure of its supplement is thirty more than five times the measure of its supplement?
The supplement of an angle is (180) minus (the angle).Here we have an angle 'A', and we are told that: 2( 180 - A ) = 30 + 5( 180 - A ). We calculate:360 - 2A = 30 + 900 - 5A = 930 - 5A (clear parentheses)3A = 570 (Add 5A - 360 to both sides)A = 190 (Divide both sides by 3)Check:Its supplement is (180 - 190) = -102(-10) (?=?) 30 + 5(-10)-20 (?=?) 30 - 50-20 = -20 Yes !
The complement of an angle is twice the measure of the angle what is the measure of the complement?
The complement is 60 degrees.
