Question

can anyone explain how the two theethas in the figure are equal?​

Answer 1

Hello Dear,

[Refer to the figure. I have just extended the rays and added labels for ur understanding.]

◆ Explanation -

In the figure,

Vector BD represents mg which is further divided into two perpendicular components BA & BC.

In ∆ABC & ∆BDC,

∠ACB ≅ ∠BCD ...(same angle)

∠ABC ≅ ∠BDC ...(both right angles)

Thus, ∆ABC ≅ ∆BDC ...(two angles congruent)

In congruent triangles, corresponding angles are congruent.

∠BAC ≅ ∠DBC = θ

This is how both thetas in the figure are equal.