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Chapter 3: Q8 (page 97)

Complete.

If m鈭�6=x, m鈭�7=x-20and m鈭�11=80then x=?

Short Answer

Expert verified

If m鈭�6=x,m鈭�7=x鈭�20 and m鈭�11=80 then the value of x is b.

Step by step solution

01

Step 1. Observe the given figure and highlight angle 6, angle 7 and angle 11.

02

Step 2. Apply exterior angle theorem.

The measure of an exterior angle of a triangle is equal to the sum measures of two remote interior angles of a triangle.

03

Step 3. Description of step.

From the given figure, it can be observed that 鈭�11is exterior angle and 鈭�6and 鈭�7are remote interior angles. Therefore, the sum of measures of 鈭�6and 鈭�7is equal to measure of 鈭�11, that is,

m鈭�6+m鈭�7=m鈭�11x+x鈭�20=802x=100

04

Step 4. Description of step.

Divide each side of the equation obtained in step 3 by 2 to find the value of x.

2x2=1002x=50

Therefore, the value of x is 50.

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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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