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Chapter 3: Q15 (page 97)

Find the values of x and y.

Short Answer

Expert verified

The values of x and y are 40°and50° respectively.

Step by step solution

01

Step 1. Name the figure and highlight angle ACF and angle FAC.

02

Step 2. Apply an angle sum theorem.

Consider a right-angled ΔBDC, such that,

m∠BDC+m∠DCB+m∠CBD=18090+y+40=180y=50

03

Step 3. Apply an angle sum theorem.

Consider a right-angled ΔAFC, such that,

m∠AFC+m∠ACF+m∠FAC=18090+50+x=180x=40

Therefore, the values of x and y are 40°and 50°respectively.

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