Question

Choose the correct correspondence

1<->
Options
1.< 2
2.< 3
3.< 4

Answer 1

The angle ∡1 is equivalent to ∡2

Explanation:

We need to start with one reasonable assumption on the image to understand the thought process: "In the rhomboid at the left side, the length of AB is equal to AC".

If we trace a line from B to C, the left side of the rhomboid will be an isosceles triangle (see attached image).

One of the characteristics of these triangles is that if we trace a line directly from the vertex A to the opposite side (line BC) it splits the angle by half, so one half would be ∡1 and the other would be the answer: ∡2

Answer 2

Angle 2

Explanation:

Looking at triangles ABD and ACD, they have parts which correspond. These parts are located in the same location in each triangle.

Angle 1 corresponds to Angle 2.