Question

1. find all missing angles.

find all missing angles.
72°
57°
1
2
3
4
9
45
90
18

Explanation:

Step1: Find angle 2

The large right - angled triangle has one angle of 72°. Since the right - angle is 90°, and the sum of angles in a triangle is 180°, for the large right - angled triangle, angle 2 = 90° - 72° = 18°.

Step2: Find angle 3

In the smaller triangle, one angle is 57° and another (angle 2) is 18°. Using the angle - sum property of a triangle (sum of angles in a triangle is 180°), angle 3=180°-(57° + 18°)=105°.

Step3: Find angle 4

Angle 4 and the 57° angle are complementary (because of the right - angle in the large triangle). So angle 4 = 90° - 57° = 33°.

Step4: Find angle 1

In the large triangle, angle 1 = 180°-(90° + 18°)=72°.

However, if we assume the question is just about the value of angle 2:

Answer:

18