Chapter 4.1, Problem 2WE

To determine

To Complete: The fill in the blank $\mathrm{.............}=m\angle A$ .

Answer to Problem 2WE

The correct answer is $m\angle I=m\angle A$ .

Explanation of Solution

Given information:

  $\Delta BIG\cong \Delta CAT$

Concept and Formula Used:

When two triangles are congruent then their corresponding parts i.e. sides and angles are congruent.

Congruent parts of congruent shapes are equal.

Calculation:

It is given that

  $\Delta BIG\cong \Delta CAT$

Therefore the corresponding parts of $\Delta BIG\&\Delta CAT$ i.e. sides and angles are congruent. Hence they are equal.

The corresponding angle to angle ‘A’ is angle ‘I’.

Hence

  $m\angle I=m\angle A$

Conclusion:

The correct answer is $m\angle I=m\angle A$ .