It is 38 degrees because 180-97-45 = 38
If two angles are complementary, then they equal 90 degrees. If one angle is 62 degrees we subtract it from 90 and get 38 degrees.
Providing that it is a regular 38 sided polygon then each interior angle will measure: 170o31'34.74''
Trig. Use law of cosines in degree mode. First find alpha; the angle opposite a a^2 = b^2 + c^2 - 2bc*cos(alpha) 24^2 = 36^2 + 19^2 - 2(36)(19)cos(alpha) 576 = 1657 - 1368cos(alpha) subtract 1657 from both sides( order of operations ) -1088 = -1368cos(alpha) 0.7902046784 = cos(alpha) arccos(0.7902046784) = alpha 38 degrees = alpha ( angle opposite side a ) find beta; angle opposite side b b^2 = a^2 + c^2 - 2ac*cos(beta) 1296 = 937 - 912cos(beta) 359 = -912cos(beta) -0.3936403509 = cos(beta) arcos(-0.3936403509 = beta 113 degrees = beta ( angle opposite of b ) easy thing to get last angle 180 degrees - 38 degrees - 113 degrees = 29 degrees; which is gamma; angle opposite c alpha( angle opposite a side = 38 degrees beta( angle opposite b side ) = 113 degrees gamma(angle opposite c side) = 29 degrees
Let the second angle be x degrees. The first angle would then be x + 24 degrees, and the third angle would be 4x degrees. According to the triangle angle sum theorem, the sum of all three angles in a triangle is 180 degrees. Therefore, you can set up the equation x + (x + 24) + 4x = 180 and solve for x to find the measures of all three angles.
The supplement of an angle is the angle that, when added to the original angle, equals 180 degrees. The complement of an angle is the angle that, when added to the original angle, equals 90 degrees. Therefore, the supplement of the complement of a 38-degree angle would be the angle that, when added to the complement of 38 degrees (52 degrees), equals 180 degrees. This angle would be 128 degrees.
An angle and its complement sum to ninety degrees. 90-52=38
90 - 38 = 52 degrees.
52 degrees
The Complement of 52 degrees would be 38 degrees, because 90 degrees minus 52 degrees is 38 degrees. Hope That helps!
Angle and its complement have a sum of 90 degrees: A+C = 90 Angle plus five times its complement is 298 degrees: A+5C = 298 Subtract first equation from the second: 4C = 208 C = 52 So, the complement is 52 degrees and the angle is 38 degrees
38 degrees
Find the cosine of 38 degrees and then find its reciprocal.
If it is a complementary angle, the missing angle is 52 degrees. If it is a supplementary angle, the missing angle is 142 degrees. If it is an opposite angle, the missing angle is 38 degrees. Obviously, you need to know what type of angle you're looking for.
38 degrees is an acute angle because it's greater than 0 but less than 90 degrees
All triangle angles add to 180 degrees. Since one is 38 and the right angle is 90, the third angle is 180 -38-90 = 52 degrees
The complement: 38° (90-52=38) The supplement: 128° (180-52=128)