1.

In Figure 4, ABCD is a rectangle. Its diagonals AC and BD intersect eachother at O. AC is produced to E such that ECD is 140°. Find the measure of theangles of triangle AOB. ​​

Answer»

Answer:

Angle AOB = 90°

Step-by-step explanation:

1) Angle DCO is 40° (Angle of st.line {180-140})

2) Angle DCO = Angle ADO (Angles are corresponding)

3). Angle ODC = 50° ( Angles of an RECTANGLE {90-40})

4) Angle DOC = 90° ( Sum of Angles In triangle { 180-[50+40]})

5) Angle AOB = DOC (OPPOSITE angles)



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