Question

please help me Q. no.6 and 7. ☆☆☆☆☆☆​

Answer 1

Answer:

Answe 6》120 Degree

As we know that in equilateral triangle all Angles are of 60 degree..

So By Using EXTERIOR ANGLE PROPERTY i.e. Sum of opposite 2 interior angles = Exterior angle

So here 2 opposite interior angles are of 60 degree

hence their sum is 120 degree (60+60)

I HOPE THIS IS HELPFUL FOR YOU

Now ANSWER 7》

i》in this angle a= 50 degree & b= 80

So By ANGLE SUM PROPERTY OF TRIANGLE:

a + b + c = 180

50 + 80 + c = 180

130 + c = 180

c = 180 - 130

c = 50

here Angle a & c are equal

And we know that the Triangle in which 2 angles are equal is an ISOSCELES TRIANGLE....

SO......

Its Answer is ISOSCELES TRIANGLE

HOPE U HAVE UNDERSTOOD.....

ii》here AB = AC

SO By this point we conclude that it is an ISOSCELES TRIANGLE

Here angle a = 100 degree that is given nd we have to find angle b & c

As we know that this is an ISOSCELES TRIANGLE & in Isosceles triangle the angles opposite to equal sides are equal so ....

here Angle b = Angle c

By Using ANGLE SUM PROPERTY OF TRIANGLE:

a + b+ c = 180

100 + b + b = 180 ( in above we have concluded that b = c )

2b = 180 - 100

2b = 80

b = 80/2

b = 40 = c

Hence its answer is b = 40 & c = 40