Question

6. Which of the following measures of angles given
can be those of isosceles triangle-
(A) 90, 45
(B) 60, 30
120, 40

(D) 90, 50​

Answer 1

Answer:

If you are given one interior angle of an isosceles triangle you can find the other two. We know that the interior angles of all triangles add to 180°. So the two base angles must add up to 180-40, or 140°. Since the two base angles are congruent (same measure),

Answer 2

★ Question ★

• We hae to find the Isosceles triangle among these given options.

★ answer ★

• We know that Isosceles Triangles are those whose 2 sides are always equal.

In the options we have found that there are only two numbers so , now we will identify the correct one.

Now let's solve:-

a ) 90, 45

To identify first we have to add 90 + 45 = 135

We know that Sum of the triangle= 180°

So, now we have to subtract 180° - 135 = 45

• Now 45 is there in the option a so measures of this angle is Isosceles Triangles.

b ) 60, 30

To identify first we have to add 60 + 30 = 90

We know that Sum of the triangle = 180°

So, now we have to subtract 180° - 90 = 90

• Now 90 is not there in the option b so  measures of angle is not an Isosceles Triangle.

c ) 120 , 40

To identify first we have to add 120 + 40 = 160

We know that Sum of the triangle = 180°

So, now we have to subtract 180° - 160 = 20

• Now 20 is not there in the option c so measures of the angle is not an Isosceles Triangle.

d ) 90 , 50

To identify first we have to add 90 + 50 = 140

We know that Sum of the triangle = 180°

So, now we have Subtract 180° - 140 = 40

• Now 40 is not there in the option d so measures of the angle is not an Isosceles Triangle.

$\sf\pink{Hence, \ Verified \ that \ Option \ a \ 90,45 \ is \ Isosceles \ Triangle}$.

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