Reference angle

Find the reference angle of each angle:

Correct answer:

1175°ref =  85 °
101°ref =  79 °
1171°ref =  89 °
463°ref =  77 °
730°ref =  10 °
1496°ref =  56 °
761°ref =  41 °

Step-by-step explanation:

1175°ref = 95°ref = 180° - 95° = 85° (Q2)
101°ref = 180° - 101° = 79° (Q2)
1171°ref = 91°ref = 180° - 91° = 89° (Q2)
463°ref = 103°ref = 180° - 103° = 77° (Q2)
730°ref = 10°ref = 10° (Q1)
1496°ref = 56°ref = 56° (Q1)
761°ref = 41°ref = 41° (Q1)

Did you find an error or inaccuracy? Feel free to write us. Thank you!


You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Find the 10
    lines Find the value of t if 2tx+5y-6=0 and 5x-4y+8=0 are perpendicular, parallel, what angle does each of the lines make with the x-axis, find the angle between the lines?
  • Internal angles
    triangle Find the internal angles of the triangle ABC if the angle at the vertex C is twice the angle at the B and the angle at the vertex B is 4 degrees smaller than the angle at the vertex A.
  • Trapezium ABCD
    lichobeznik In the figure, ABDC is a trapezium in which AB || CD. line segments RN and LM are drawn parallel to AB such that AJ=JK=KP. If AB=0.5m and AP=BQ=1.8m, find the lengths of AC, BD, RN and LM. angle D=angle C=60
  • Angles in ratio
    angles The size of the angles of the triangle are in ratio x: y = 7: 5 and the angle z is 42° lower than the angle y. Find size of the angles x, y, z.
  • Cuboid
    cuboid_diagonal Find the dimensions of cuboid a, b, c; if diagonal d=9 dm has an angle with edge α=55° and has an angle with edge b β=58°
  • Right angled triangle 3
    right_triangle Side b = 1.5, hypotenuse angle A = 70 degrees, Angle B = 20 degrees. Find its unknown sides length.
  • Regular n-gon
    10gon_polygon In a regular n-angle polygon, the internal angle is 144 degrees. Find the number n indicating the number of sides of this polygon.
  • Altitude angles
    aircraft-02 Cities A, B, C lie in one elevation plane. C is 50 km east of B, B is north of A. C is deviated by 50° from A. The plane flies around places A, B, C at the same altitude. When the aircraft is flying around B, its altitude angle to A is 12°. Find the altit
  • Right angled triangle 2
    vertex_triangle_right LMN is a right-angled triangle with vertices at L(1,3), M(3,5), and N(6,n). Given angle LMN is 90° find n
  • Isosceles triangle 8
    7-6-7-triangle If the rate of the sides an isosceles triangle is 7:6:7, find the base angle correct to the nearest degree.
  • Octagonal pyramid
    octagonl_pyramid2 Find the volume of a regular octagonal pyramid with height v = 100 and the angle of the side edge with the plane of the base is α = 60°.
  • The Eiffel Tower
    Eiffel-Tower-Paris The top of the Eiffel Tower is seen from a distance of 600 meters at an angle of 30 degrees. Find the tower height.
  • Rhombus
    rhombus-diagonals One angle of a rhombus is 136°, and the shorter diagonal is 8 cm long. Find the length of the longer diagonal and the side of the rhombus.
  • Angle at the apex
    iso In an isosceles triangle, the angle at the apex is 30° greater than the angle at the base. How big are the internal angles?
  • Refractive index
    lomSvetla The light passes through the interface between air and glass with a refractive index of 1.5. Find: (a) the angle of refraction if light strikes the interface from the air at an angle of 40°. (b) the angle of refraction when light strikes the glass interfa
  • Steeple
    church_tower We see the church tower from the road at an angle of 52°. When we zoom out to 29 meters away, it can be seen at an angle of 21°. How high is it?
  • Find the 9
    obtuse_triangle Find the missing angle in the triangle and then name the triangle. Angles are: 95, 2x+15, x+3