Chapter 14.4, Problem 3PSA

a.

To determine

To construct $\angle FGH$ congruent to $\angle WXY$ .

Explanation of Solution

Given:

The acute angle ABC and an obtuse angle WXY.

Calculation:

The following is the construction-

Step- the length of the arc should be the same.

  

b.

To determine

To construct the complement of $\angle ABC$ .

Explanation of Solution

Given:

The acute angle ABC and an obtuse angle WXY.

Calculation:

The measurement of the angle is ${90}^{\circ }-\angle ABC$

  

c.

To determine

To construct the supplement of $\angle WXY$ .

Explanation of Solution

Given:

The acute angle ABC and an obtuse angle WXY.

Calculation:

The measurement of the angle is ${180}^{\circ }-\angle WXY$

  

d.

To determine

To construct an angle whose measure is difference of $\angle WXY$ and $\angle ABC$

Explanation of Solution

Given:

The acute angle ABC and an obtuse angle WXY.

Calculation:

The following angle is difference of $\angle WXY$ and $\angle ABC$

  

e.

To determine

To construct an angle whose measure is double that of $\angle ABC$

Explanation of Solution

Given:

The acute angle ABC and an obtuse angle WXY.

Calculation:

The following angle is double of $\angle ABC$