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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

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Related Questions

What is the measure of vertical angles that are supplementary?

supplementary angles add up to 180 degrees


What angles measure sum is 180 degrees?

supplementary angles.


Do Congruent supplementary angles each have a measure of 90 degrees?

No, congruent supplementary angles do not each measure 90 degrees. Supplementary angles are defined as two angles whose measures add up to 180 degrees. If two angles are congruent and supplementary, they would each measure 90 degrees, but this is a specific case rather than a general rule. In general, congruent supplementary angles can have any measure that adds up to 180 degrees, as long as they are equal.


What are two angles whose measure is 180 degrees?

They are supplementary angles


What is a supplementary angle and what does it measure?

Supplementary angles are two angles that measure up to 180 degrees. EXAMPLE: If the an angle measures 70 degrees, to find the missing angle, you subtract 70 from 180 because supplementary angles equal 180 degrees. Your answer (in this case 110) is the answer for the measure of the missing angle.


How much greater is the sum of the measures of a pair of supplementary angles than the sum of the measures of a pair of copplementary angles?

Complementary angles add up to 90 degrees and supplementary angles add up to 180 degrees. So the answer is 90 degrees greater.


Are corresponding angles always supplementary?

No, corresponding angles are not always supplementary. Corresponding angles are formed when a transversal intersects two parallel lines, and they are equal in measure. Supplementary angles, on the other hand, are two angles that add up to 180 degrees. Therefore, corresponding angles are equal, not necessarily supplementary unless they each measure 90 degrees.


What is The measure of an angle is 20 and deg. What is the measure of its supplement?

Its supplementary angle is 160 degrees because supplementary angles add up to 180 degrees


Can an obtuse angle be both complementary and supplementary?

No, an obtuse angle cannot be both complementary and supplementary because the measures of complementary angles add up to 90 degrees, while the measures of supplementary angles add up to 180 degrees. An obtuse angle has a measure greater than 90 degrees, so it can only be supplementary, not complementary.


If two supplementary angles are congruent then each has a measure of 90 degrees?

no


What do congruent supplementary angles each have a measure of?

90 degrees each


What is the measure of an angle supplementary to an angle that measures 101 degrees?

Supplementary angles are angles that add up to 180 degrees, ie. a straight angle. Therefore, the angle supplementary to 101 degrees would be 180-101=79 degrees.