This question is based on the angles of the triangle.Therefore, the angles of the triangle is 180 degree.
We need to determined the all the angles of triangle in the figure.
In the triangle ABC,
All sides are equal, therefore it is equivalent triangle. Hence, all angles are also equal.
Therefore, angle A = 60 degree, angle B = 60 degree, angle C = 60 degree.
Now, find the angle N.
In triangle PAN, one of the angle is 69 degree, and the other is 90 degree.
We know that,
Sum of angles of the triangle is 180 degree.
Thus, angle N = 180-69-90
Angle N = 21 degree
From the figure, it is observe that,
- Angle P = 90 -69 = 21 degree
- Angle O = 90 - angle N = 90 - 21 = 69 degree.
- Angle R = 90 degree - 15 = 75 degree
- Angle Q = 90- 15 = 75 degree
- Angle S = 90 - 48 = 42 degree
- Angle T = 180- 48-90 = 42 degree
- Angle J = 180 - 75 - 90 = 15 degree
- Angle L = 180 - 15 - 90 = 75 degree
- Angle H = 180 - 75- 60 = 45 degree
- Angle I = 90 - 45 = 45 degree
- Angle M = 180 - 60 = 120 degree
- Angle K = 180 - 120 - 45 = 15 degree
- Angle E = 90 - 55 =35 degree
- Angle G= 180 - 35 - 90 =55 degree
- Angle F = 90 - 55 = 35 degree
- Angle U = 69 degree ( from the figure)
- Angle D = 180 - 69 - 69 = 42 degree
Therefore, these are the all the angles of the given figure.
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