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Chapter 4: Q3. (page 136)

For the following figure, if 螖AODis isosceles right triangle with right 鈭�AODthen the measure of鈭�Ais __?

Short Answer

Expert verified

Then the measure is鈭�A鈮�鈭�D.

Step by step solution

01

Step 1. Check the figure.

Consider the figure.

02

Step 2. Apply the concept of isosceles triangle.

Property of isosceles triangle states that if two sides of a triangle are congruent, then the angles opposite to those sides are congruent.

03

Step 3. Step description.

From the figure OA炉=OD炉.

Here the angle opposite to side OA炉is 鈭�Dand the angle opposite to side OD炉is 鈭�Ain 螖AOD.

Since if the two sides of a triangle are congruent then the angles opposite to those sides are congruent then 鈭�A鈮�鈭�D.

Therefore, the congruent angles are 鈭�A鈮�鈭�D.

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Most popular questions from this chapter

For the following figure, does the SAS postulates justify that the two triangles are congruent.

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Complete: quad.NERO鈮�quad?炉.

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For the following figure, can the triangle be proved congruent. If so, what postulate can be used?
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