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Chapter 3: Q16 (page 97)

Find the values of x and y.

Short Answer

Expert verified

The values of x and y are 40掳and role="math" localid="1638176591854" 30掳respectively.

Step by step solution

01

Step 1. Name the figure and highlight angle DCO and angle BCO .

02

Step 2. Apply an angle sum theorem.

Consider a 螖AOB, such that,

m鈭�BAO+m鈭�AOB+m鈭�ABO=18090+m鈭�AOB+40=180m鈭�AOB=50

03

Step 3. Apply vertically opposite angles.

From the given figure, it can be observed that 鈭�AOBand 鈭�DOCare vertically opposite angles. Therefore, m鈭�AOB=m鈭�DOC=50掳.

04

Step 4. Apply an angle sum theorem.

Consider a 螖BAC, such that,

m鈭�BAC+m鈭�ACB+m鈭�ABC=18090+y+60=180y=30

05

Step 5. Apply an angle sum theorem.

Consider a 螖DOC, such that,

m鈭�DOC+m鈭�DCO+m鈭�ODC=18050+x+90=180x=40

Therefore, the values of x and y are 40掳and 30掳respectively.

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Most popular questions from this chapter

Classify each pair of angles as alternate interior, same side interior or corresponding angles

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