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RafaThe complement of a 41-degree angle is the angle that, when added to 41 degrees, equals 90 degrees. Therefore, the complement of a 41-degree angle is 90 - 41 = 49 degrees. The supplement of a 41-degree angle is the angle that, when added to 41 degrees, equals 180 degrees. So, the supplement of a 41-degree angle is 180 - 41 = 139 degrees.
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What is the measure of an angle that is 41 degrees?
It is an acute angle
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.
The measure of a supplement of an angle is 8 more than three times the measure of a complement Find the measure of the angle?
Complimentary angles are ones that add to 90° Supplementary angles are ones that add to 180° Translate: The measure of a supplement of an angle (180-x) is (=)8 more (8+) than three times (3*) the measure of a complement (90-x). Find the measure of the angle? 180 - x = 8+3(90-x) 180 - x = 8 + 270 - 3x 180 - x = 278 - 3x - x = 98 - 3x 2x = 98 x = 49 Check: The measure of the supplement (131) is 8 more than 3 times the compliment (41) 41 * 3 + 8 = 131 123 + 8 = 131 ■
Two angles are complimentary The sum of the measures of the first angle and half the second angle is 69.5 degrees Find the measures of the angles?
A system of equations needs to be created. Complimentary means that the two angles equal to 90 degrees. The first equation will be x + y = 90 The second equation will be x + .5y = 69.5 Using the elimination method multiply the first equation by -1 This will leave us with -x - y = -90 Add the second x + .5y = 69.5 X is eliminated When adding -y = -90 and .5y = 69.5 we are left with: -.5y = -20.5 Divide by -.5 y = 41 This is the second angle Substitute 41 for y in the first equation x + 41 = 90 x = 49 This is the first angle To check substitute both numbers into the second equation 49 + .5(41) = 69.5 49 + 20.5 = 69.5 69.5 = 69.5 Or Given the sum of the first angle and the half of the second angle is 69.5, means that the second angle is 2(90 - 69.5) = 41. Therefore, the first angle is (90 - 41) = 49.
Two angles are complementary - the second angle measure 42 less the first angle - What is the measure of the 1st angle?
41
