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Chapter 1: Q33 (page 20)

Given the diagram, state whether you can reach the conclusion shown.

m鈭�AOF鈮�130

Short Answer

Expert verified

We can conclude that m鈭�AOF鈮�130

Step by step solution

01

Step 1. Observe the given diagram.

02

Step 2. Highlight the 鈭燗OF in the given diagram.

03

Step 3. Explain whether you can reach the given conclusion.

As 鈭�AOC鈮�鈭�BOCimplies that m鈭�AOC=鈭�BOC=90掳and it is given in the figure that m鈭�BOF=50掳

鈭�AOBis a straight angle, that is, and it can be written as

m鈭�AOB=m鈭�AOC+m鈭�BOC=m鈭�AOC+m鈭�COF+m鈭�BOF

Then,

180=90+m鈭�COF+50m鈭�COF=180鈭�90鈭�50=40掳

鈭�AOFcan be written as

m鈭�AOF=m鈭�AOC+m鈭�COF=90+40=130掳

Therefore we can conclude that, m鈭�AOF鈮�130.

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