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Write something you can conclude from the given information.

Given: 4and 6are complements.

Short Answer

Expert verified

The required conclusion isCGAD.

Step by step solution

01

Step 1. Definition of complementary angles.

Angles having the measurement of when they added are referred as the complementary angles.

02

Step 2. Write the addition of provided angles.

By using the definition make an equation that represents the addition of provided angles.

4+6=90°

03

Step 3. Definition of vertically opposite angles.

According to the definition of vertically opposite angles are referred as those angles which are formed when a line travels from two separate lines and the measurement of these angles is the same.

04

Step 4. Use the definition of vertically opposite angles.

The angles that are vertically opposite in the figure are 6and 3so make an equation by using the property of these angles.

6=3

Rewrite the equation4+6=90° by substituting 3at the place of 6.

3+6=90°

05

Step 5. Make the conclusion.

The angles3 and4 are the part ofBCG so the measurement ofBCG will be 90°. Use the definition of perpendicular lines that is the relation between two lines is perpendicular when the measurement of angles formed by those lines is equal to 90°.

The angleBCG is formed by the linesCG andAD which means that the relation between these lines is perpendicular so make an equation for this and this will be the conclusion.

CGAD

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