Question

Use the diagram below to choose the statement which must be true.

12
3
2
10
Om21 Om/4> m22
Om21 > m23
O m21 > m22

Answer 1

Step-by-step explanation

From the diagram, we see that the triangles have little lines over some sides, and the lines with the same number of little lines are similar sides:

Comparing the triangles, we identify the similar angles:

• m∠1 = m∠2 > 90° → obtuse angle,

,

• m∠3 = m∠4 < 90° → acute angle.

Using this data, we see that the correct statement is:

`m\angle1>90\degree>m\angle3\Rightarrow m\angle1>m\angle3.`Answer

m∠1 > m∠3