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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°and 70°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°and x are alternate interior angles. Therefore, they are equal, that is, x=110°.

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°and y are remote interior angles. Then,

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

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

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