Solve the Following: N an Isosceles Triangle, the Base Angles Are Equal. the Vertex Angle is 40°. What Are the Base Angles of the Triangle? (Remember, the Sum of Three Angles of a Triangle is 180°). - Mathematics

Sum

Solve the following:

In an isosceles triangle, the base angles are equal. The vertex angle is 40°. What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is 180°).

Solution

Let the base angles be equal to b.

The sum of all interior angles of a triangle is 180°.

b + b + 40° = 180°

2b + 40° = 180°

2b = 180º - 40º = 140º (Transposing 40º to R.H.S.)

Dividing both sides by 2,

(2b)/2 = 140^@/2

b = 70^@

Therefore, the base angles of the triangle are of 70º measure.

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APPEARS IN

NCERT Class 7 Maths
Chapter 4 Simple Equations
Exercise 4.4 | Q 2.2 | Page 91