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Chapter 3: Q12 (page 97)

Find the values of x and y

Short Answer

Expert verified

The values of x and y are 110掳and 70掳respectively.

Step by step solution

01

Step 1. Observe the given figure and highlight angle x and angle y.

02

Step 2. Description of step.

From the figure, it can be observed that the two angles, 110掳and x are alternate interior angles. Therefore, they are equal, that is, x=110掳.

03

Step 3. 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.

04

Step 4. Description of step.

From the given figure, it can be observed that xis exterior angle and angles 40掳and y are remote interior angles. Then,

40+y=x40+y=110y=70

Therefore, the values of xand yare 110掳and 70掳respectively.

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Most popular questions from this chapter

Exercises 23-29 refer to the diagram in step 2 of exercise 22.

Name five lines that appear to be parallel toAG炉.

Classify each pair of angles as alternate interior angles, same-side interior angles, corresponding angles, or none of these.

and

Exercises 23 鈥� 29 refer to the diagram in Step 2 of Exercise 22

How many pairs of parallel planes are shown?

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

or corresponding angles

and

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

art

and

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