Question

If the angle at the vertex of an isosceles triangle is 38⁰, what is the measure of either one of the base angles?
I am giving exam answer fast.





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Answer 1

Answer:

We know that the sum of angles of a Triangle is 180°

Let base angle be b

Then,  b + b + 40° = 180°

= 2b + 40 = 180°

By Transposing 40 from LHS to RHS it becomes -40

= 2b = 180 – 40

= 2b = 140

Now, Divide both the side by 2

= 2b/2 = 140/2

= b = 70°

Hence, 70° is the base angle of an isosceles Triangle

Answer 2

Answer:

We know that sum of all the angle of triangle is 180and in isosceles triangle the sides are equal .

therefore the two angle is also equal

Let the base angle be x =x+x

=2x

2x + 38 = 180

2x = 180 - 38

2x = 142

x = 142/2

x = 71°

the measure of one of the base angle is 71°