It is an acute 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.
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 ■
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.
41
An angle and its complement add to 90 degrees. Hence an angle of 41 degrees has 49 degrees as its complement.
Angle + Its Complement = 90 degrees Angle = Its Complement + 8 degrees2*(Its Complement) + 8 degrees = 90 degrees2*(Its Complement) = 82 degreesIts Complement = 41 degreesAngle + 41 degrees = 90 degreesAngle = 49 degrees
An acute angle
b
90 deg - (31deg 19 min) = 58 deg 41 min
90 - 41 ie 49o
41% of a circle equates to an angle of 147.6 degrees.
It is an acute 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.
41
The third angle is 81 degrees because 180-41-58 = 81 degrees
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 ■