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Chapter 4: Q2. (page 136)

For the following figure, if 螖BOCis isosceles with OB炉鈮�OC炉then鈭�__鈮�鈭�__.

Short Answer

Expert verified

Then鈭�C鈮�鈭�B

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 OB炉=OC炉.

Here the angle opposite to sideOB炉 is鈭�C and the angle opposite to sideOC炉 is鈭�B in 螖BOC.

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

Therefore, the congruent angles are 鈭�C鈮�鈭�B.

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Most popular questions from this chapter

Suppose that 螖BIG鈮�螖CAT, then complete the following statement.

___鈮�螖CTA

Decide whether you can deduce by the SSS, SAS, or ASA postulate that another triangle is congruent to 螖ABC. If so, write the congruence and name the postulate used. If not, write no congruence can be deduced.

State whether the congruence of triangles has the reflexive property, the symmetric property, the transitive property.

Suppose you are given a scalene triangle and a point Pon some line localid="1648799479069" l. How many triangles are there with one vertex at localid="1648799462577" P, another vertex on localid="1648799472074" l, and each triangle congruent to the given triangle?

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