Question

1. which statement is given in the diagram?

∠abc≅∠ade

∠acb≅∠ade

∠acd≅∠adc

∠acb≅∠abc

Explanation:

Step1: Analyze each option

• For $\angle ABC\cong\angle ADE$: $\angle ABC$ is a right - angle ($90^{\circ}$) and $\angle ADE$ is not a right - angle.
• For $\angle ACB\cong\angle ADE$: In the diagram, the marks on $\angle ACB$ and $\angle ADE$ are the same, indicating they are congruent.
• For $\angle ACD\cong\angle ADC$: There are no marks to show these angles are congruent.
• For $\angle ACB\cong\angle ABC$: $\angle ABC = 90^{\circ}$ and $\angle ACB

eq90^{\circ}$ (since it has a different mark).

Answer:

$\angle ACB\cong\angle ADE$