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It is 15 degrees because complementary angles add up to 90 degrees

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Cullen Jacobs

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โˆ™ 2022-04-13 22:46:07
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Q: What is the measure of an angle that is complementary to angle that measures 75?
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What is the measure of angle if the sum of the measures of it's complement and supplement is 240 degrees?

(180°-x) + (90°-x) = 240°270° - 2x = 240°30° = 2x15° = xThe measure of the angle is 15°.The supplement is 165°, the complement is 75°, and their sum is 240°.


What is the measure of the third angle if you 75 degrees and 75 degrees?

If you're referring to the internal angles of a triangle - the missing angle would be 30 degrees. Remember - in a flat triangle - the internal angles always add up to 180. Therefore - add up the angles you know, then subtract that from 180.


An extension ladder's distance from the base of a building should be what proportion of it's total extension?

It is not a proportion. There needs to be aroubd a 75 degree angle from the ground to the base. If it is too flat the ladder can slip out from underneath you. If it is too steep you can tip back. There is usually an angle at the bottom of the ladder if that is flat on the ground then that should be the safest angle (75 degrees)


Two angles are complimentary if their sum is 90 degrees. find the angles of two complimentary angles if the second is five times the first?

you have two unknowns: angle one (which we can call x), and angle 2 (which we can call y)when you have 2 unknowns, you need to set up 2 equationssince they are complimentary, you know that 90 = x + ywe know that the second is 5 times the first, so x = 5yif we substitute 5y for x in the first equation, we get: 90 = 5y + y = 6y90/6 = 15. we now know that 15 is the measure of angle 2All we need to do know is 90-15, which equals 75 to get are measure for angle 1


What is the base length of an isosceles triangle with two legs of 5 inches the obtuse angle of 120 degrees and the two base angles of 30 degrees?

First, draw the triangle ABC. Denote with A and B the two base angles, and with C the obtuse angle. Denote with a the side opposite the angle A, and with b the opposite of the angle B (since these two sides are equal, you can denote both of them with a), and with c the side opposite the angle C (which is also the base of the triangle ABC). Since you know the measure of two sides and the measure of the angle between them, you can use the Law of Cosine to find the measure of the side opposite to that angle. So, c^2 = a^2 + b^2 - 2abcosC a = b = 5 in, measure of the angle C = 120 degrees c^2 = 5^2 + 5^2 - (2)(5)(5)(cos 120 degrees) = 75 c = square root of 75 c = 8. 660254038 Thus the measure length of the base is approximately 8.7 in. (Make sure to put your calculator on degree mode). You can use also the Pythagorean theorem to find the base, by using the property: In a right triangle the side opposite the angle whose measure is 30 degrees, is equal to one half of the measure length of the hypotenuse, but this method is much more longer. Let's do this. From the vertex C, draw the perpendicular CD to the base AB. This perpendicular cuts the base into two congruent parts. In the triangle ACD the hypotenuse AC has a length of 5, so CD, which is opposite the base angle A (an 30 degrees angle) has a length 5/2 = 2.5. From the Pythagorean theorem AD^2 = AC^2 - CD^2 AD^2 = (5)^2 - (2.5)^2 = 25 - 6.25 = 18.75 AD = square root of 18.75 AD is approximately 4.33. Since base AB has a length that equals twice of the length of AD, we can find that the length of AB is 2 x 4.33 = 8.66, or approximately 8.7 in.

Related questions

What is the measure of an angle that is complementary to an angle that measures 75 and Acirc and deg?

The complementary angle is 15 degrees


What is the measure of an angle that is complementary to an angle that measures 75 degrees?

It is: 15 degrees


What is the measure of an angle that is complementary to an angle that measures 75?

It is 15 degrees because complementary angles add up to 90 degrees


What is the measure of an angle complementary to an angle that measures 105 degrees?

An impossibility because complementary angles add up to 90 degrees but if its a supplementary angle then 180-105 = 75 degrees


What is the measure of an angle that is complementary to a 75 degree angle?

15 degrees


Which angle measure is a complementary of an angle whose measure is 105 degrees?

180-105 = 75


Two angles are complementary One angle has a measure that is five times the measure of the other angle What is the measure in degrees of the larger angle?

Complementary angles are angles that add up to 90 degrees. If the smaller angle is x, the larger is 5x, so 6x = 90. X equals 15, and the larger angle measures 75 degrees.


What is the complementary angle of 75?

The complementary angle is 15 degrees.


What is the measure of an angle supplementary to an angle that measures 105 degrees?

It is 75 degrees


What is the measure of an angle supplementary to an angle that measures 105?

180-105 = 75 degrees


What is the measure of angle A if angle B is 75 degrees and angle C is a 90 degree angle?

It is a right angle triangle and angle A measures 15 degrees.


What would be the measure for two complementary angles if one angle was 5 times the other angle?

They are: 75 degrees + 15 degrees = 90 degrees

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